Relevant bibliographies by topics / Higher-dimensional quantum field theories

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Higher-dimensional quantum field theories'

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Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Higher-dimensional quantum field theories"

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Bender, Carl M., Stefan Boettcher, and Lev Lipatov. "Almost zero-dimensional quantum field theories." Physical Review D 46, no. 12 (1992): 5557–73. http://dx.doi.org/10.1103/physrevd.46.5557.

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Asorey, Manuel, Leslaw Rachwal, and Ilya Shapiro. "Unitary Issues in Some Higher Derivative Field Theories." Galaxies 6, no. 1 (2018): 23. http://dx.doi.org/10.3390/galaxies6010023.

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We analyze the unitarity properties of higher derivative quantum field theories which are free of ghosts and ultraviolet singularities. We point out that in spite of the absence of ghosts most of these theories are not unitary. This result confirms the difficulties of finding a consistent quantum field theory of quantum gravity.
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Han, Yu, Yongge Ma, and Xiangdong Zhang. "Connection dynamics of higher-dimensional scalar–tensor theories of gravity." Modern Physics Letters A 29, no. 28 (2014): 1450134. http://dx.doi.org/10.1142/s021773231450134x.

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The scalar–tensor theories (STTs) of gravity in spacetime dimensions (D+1)>2 are studied. By performing Hamiltonian analysis, we obtain the geometrical dynamics of the theories from their Lagrangian. The Hamiltonian formalism indicates that the theories are naturally divided into two sectors by the coupling parameter ω. The Hamiltonian structures in both sectors are similar to the corresponding structures of four-dimensional cases. It turns out that, similar to the case of general relativity (GR), there is also a symplectic reduction from the canonical structure of so (D+1) Yang–Mills theories coupled to the scalar field to the canonical structure of the geometrical STTs. Therefore, the non-perturbative loop quantum (LQG) gravity techniques can also be applied to the STTs in D+1 dimensions based on their connection-dynamical formalism.
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FEWSTER, CHRISTOPHER J., and STEFAN HOLLANDS. "QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY." Reviews in Mathematical Physics 17, no. 05 (2005): 577–612. http://dx.doi.org/10.1142/s0129055x05002406.

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Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, null and spacelike curves, as well as over a space-time volume. In addition, we consider boundary conformal field theories and more general "moving mirror" models. Our results hold for all theories obeying a minimal set of axioms which — as we show — are satisfied by all models built from unitary highest-weight representations of the Virasoro algebra. In particular, this includes all (unitary, positive energy) minimal models and rational conformal field theories. Our discussion of this issue collects together (and, in places, corrects) various results from the literature which do not appear to have been assembled in this form elsewhere.
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Ichinose, Shoichi. "Casimir energy of the universe and new regularization of higher dimensional quantum field theories." Journal of Physics: Conference Series 222 (April 1, 2010): 012048. http://dx.doi.org/10.1088/1742-6596/222/1/012048.

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ABRAMS, LOWELL. "TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS." Journal of Knot Theory and Its Ramifications 05, no. 05 (1996): 569–87. http://dx.doi.org/10.1142/s0218216596000333.

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We characterize Frobenius algebras A as algebras having a comultiplication which is a map of A-modules. This characterization allows a simple demonstration of the compatibility of Frobenius algebra structure with direct sums. We then classify the indecomposable Frobenius algebras as being either “annihilator algebras” — algebras whose socle is a principal ideal — or field extensions. The relationship between two-dimensional topological quantum field theories and Frobenius algebras is then formulated as an equivalence of categories. The proof hinges on our new characterization of Frobenius algebras. These results together provide a classification of the indecomposable two-dimensional topological quantum field theories.
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HATANAKA, HISAKI, TAKEO INAMI, and C. S. LIM. "THE GAUGE HIERARCHY PROBLEM AND HIGHER-DIMENSIONAL GAUGE THEORIES." Modern Physics Letters A 13, no. 32 (1998): 2601–11. http://dx.doi.org/10.1142/s021773239800276x.

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We report on an attempt to solve the gauge hierarchy problem in the framework of higher-dimensional gauge theories. Both classical Higgs mass and quadratically divergent quantum correction to the mass are argued to be vanished. Hence the hierarchy problem in its original sense is solved. The remaining finite mass correction is shown to depend crucially on the choice of boundary condition for matter fields, and a way to fix it dynamically is presented. We also point out that on the simply-connected space S2 even the finite mass correction vanishes.
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BOSTELMANN, HENNING, GANDALF LECHNER, and GERARDO MORSELLA. "SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES." Reviews in Mathematical Physics 23, no. 10 (2011): 1115–56. http://dx.doi.org/10.1142/s0129055x11004539.

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Short distance scaling limits of a class of integrable models on two-dimensional Minkowski space are considered in the algebraic framework of quantum field theory. Making use of the wedge-local quantum fields generating these models, it is shown that massless scaling limit theories exist, and decompose into (twisted) tensor products of chiral, translation-dilation covariant field theories. On the subspace which is generated from the vacuum by the observables localized in finite light ray intervals, this symmetry can be extended to the Möbius group. The structure of the interval-localized algebras in the chiral models is discussed in two explicit examples.
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Turaev, Vladimir, and Alexis Virelizier. "On 3-dimensional homotopy quantum field theory II: The surgery approach." International Journal of Mathematics 25, no. 04 (2014): 1450027. http://dx.doi.org/10.1142/s0129167x1450027x.

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Homotopy Quantum Field Theories (HQFTs) generalize more familiar Topological Quantum Field Theories (TQFTs). In generalization of the surgery construction of 3-dimensional TQFTs from modular categories, we use surgery to derive 3-dimensional HQFTs from G-modular categories.
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RANDJBAR-DAEMI, S., ABDUS SALAM та J. A. STRATHDEE. "σ-MODELS AND STRING THEORIES". International Journal of Modern Physics A 02, № 03 (1987): 667–93. http://dx.doi.org/10.1142/s0217751x87000247.

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The propagation of closed bosonic strings interacting with background gravitational and dilaton fields is reviewed. The string is treated as a quantum field theory on a compact 2-dimensional manifold. The question is posed as to how the conditions for the vanishing trace anomaly and the ensuing background field equations may depend on global features of the manifold. It is shown that to the leading order in σ-model perturbation theory the string loop effects do not modify the gravitational and the dilaton field equations. However for the purely bosonic strings new terms involving the modular parameter of the world sheet are induced by quantum effects which can be absorbed into a re-definition of the background fields. We also discuss some aspects of several regularization schemes such as dimensional, Pauli-Villars and the proper-time cut off in an appendix.
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Dissertations / Theses on the topic "Higher-dimensional quantum field theories"

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Simms, R. "Exploring higher dimensional quantum field theories through fixed points." Thesis, University of Liverpool, 2018. http://livrepository.liverpool.ac.uk/3028491/.

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Renormalization was popularised in the 1940s following the appearance of non- sensical infinities in the calculation of the self-energy of the electron. Notably this led to Quantum Electrodynamics becoming a fully renormalizable quantum field theory. One useful tool that emerges from the technical aspects of renormal- ization is the Renormalization Group. In particular, the β-function defines the variation of the coupling constants with energy. The vanishing of the β-function at a particular value of the coupling is known as a fixed point, the location of which can be found using perturbation theory. Properties of quantum field the- ories such as ultraviolet behaviour can be studied using these fixed points. The calculation of two different types of fixed points forms the spine of this thesis. In Part I the d-dimensional Wilson-Fisher fixed point is used to connect scalar quantum field theories in different space-time dimensions. Specifically we look at dimensions greater than four and explore the property of universality through the Vasil'ev large N expansion. Different universality classes are examined, the first contains φ4 theory with O(N) symmetry while another incorporates O(N)×O(m) Landau-Ginzburg-Wilson theory. In the latter we perform a full fixed point sta- bility analysis and conformal window search which determines where conformal symmetry is present. Part I develops techniques that may later be applicable to calculations involving beyond the Standard Model physics including asymptotic safety, quantum gravity and emergent symmetries. Part II focuses on the non-trivial Banks-Zaks fixed point of four dimensional Quantum Chromodynamics. Using a variety of colour groups and representations we calculate the location of the fixed point and corresponding critical exponents to pinpoint exactly where the true value of the conformal window lies. Additionally a number of different renormalization schemes are used, including the momentum subtraction (MOM) and interpolating momentum subtraction (iMOM) schemes. This allows us to study where in the conformal window scheme dependence is most apparent. Both the Landau gauge and maximal abelian gauge are utilized to extend the analysis. Throughout this thesis we compare and contrast perturbative results with non-perturbative calculations such as those performed in lattice.
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Schritt, Dimitri. "Symmetries in quantum and classical field theories." Thesis, University of Canterbury. Physics and Astronomy, 2013. http://hdl.handle.net/10092/8032.

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The initial chapter of the thesis provides a review of Weinberg’s formalism for the derivation of quantum fields. The formalism is extended to allow for the derivation of quantum fields with more than one spin degree of freedom. It is conjectured that it may be possible to construct massive bosonic quantum field theories of any desired spin j that are consistent and unitary at all energies without the need for regulator terms by including j + 1 spin degrees of freedom: j, j - 1, down to j - j. The concept is then demonstrated in two subsequent chapters by the derivation of a quantum field with spin one and spin zero degrees of freedom followed the derivation of a quantum field with spin two, spin one, and spin zero degrees of freedom. Both field theories are found to be consistent and unitary at all energies without the need for regulator terms. The final two chapters are on unrelated topics. The penultimate chapter provides an explicit derivation of quantum fields for massless particles of spin one-half. In the final chapter, a derivation of the free-space Proca and Maxwell equations is provided via a consistent identification of the linear combinations of the classical fields of the (1,0) and (0,1) representations of the orthochronous Lorentz group.
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Ardekani, Armin. "Monte Carlo studies of two dimensional field theories /." Title page, table of contents and introduction only, 1998. http://web4.library.adelaide.edu.au/theses/09PH/09pha676.pdf.

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McNeill, Daniel Owen. "Strong coupling aspects of (2+1) dimensional gauge field theories." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244631.

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Söderberg, Alexander. "Renormalization in Field Theories." Thesis, Uppsala universitet, Teoretisk fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251561.

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Several different approaches to renormalization are studied. The Callan-Symanzik equation is derived and we study its beta functions. An effective potential for the Coleman-Weinberg model is studied to find that the beta function is positive and that spontaneous symmetry breaking will occur if we expand around the classical field. Lastly we renormalize a non-abelian gaugetheory to find that the beta function in QCD is negative.
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Wojtas, David Heinrich. "Suppressing Discretization Error in Langevin Simulations of (2+1)-dimensional Field Theories." Thesis, University of Canterbury. Physics and Astronomy, 2006. http://hdl.handle.net/10092/1294.

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Lattice simulations are a popular tool for studying the non-perturbative physics of nonlinear field theories. To perform accurate lattice simulations, a careful account of the discretization error is necessary. Spatial discretization error as a result of lattice spacing dependence in Langevin simulations of anisotropic (2 + 1)-dimensional classical scalar field theories is studied. A transfer integral operator (TIO) method and a one-loop renormalization (1LR) procedure are used to formulate effective potentials. The effective potentials contain counterterms which are intended to suppress the lattice spacing dependence. The two effective potentials were tested numerically in the case of a phi-4 model. A high accuracy modified Euler method was used to evolve a phenomenological Langevin equation. Large scale Langevin simulations were performed in parameter ranges determined to be appropriate. Attempts at extracting correlation lengths as a means of determining effectiveness of each method were not successful. Lattice sizes used in this study were not of a sufficient size to obtain an accurate representation of thermal equilibrium. As an alternative, the initial behaviour of the ensemble field average was observed. Results for the TIO method showed that it was successful at suppressing lattice spacing dependence in a mean field limit. Results for the 1LR method showed that it performed poorly.
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Mattsson, Peter Aake. "Integrable quantum field theories, in the bulk and with a boundary." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4225/.

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In this thesis, we consider the massive field theories in 1+1 dimensions known as affine Toda quantum field theories. These have the special property that they possess an infinite number of conserved quantities, a feature which greatly simplifies their study, and makes extracting exact information about them a tractable problem. We consider these theories both in the full space (the bulk) and in the half space bounded by an impenetrable boundary at x = 0. In particular, we consider their fundamental objects: the scattering matrices in the bulk, and the reflection factors at the boundary, both of which can be found in a closed form. In Chapter 1, we provide a general introduction to the topic before going on, in Chapter 2, to consider the simplest ATFT—the sine-Gordon model—with a boundary. We begin by studying the classical limit, finding quite a clear picture of the boundary structure we can expect in the quantum case, which is introduced in Chapter 3. We obtain the bound-state structure for all integrable boundary conditions, as well as the corresponding reflection factors. This structure turns out to be much richer than had hitherto been imagined. We then consider more general ATFTs in the bulk. The sine-Gordon model is based on a(^(1))(_1), but there is an ATFT for any semi-simple Lie algebra. This underlying structure is known to show up in their S-matrices, but the path back to the parameters in the Lagrangian is still unclear. We investigate this, our main result being the discovery of a "generalised bootstrap" equation which explicitly encodes the Lie algebra into the S-matrix. This leads to a number of new S-matrix identities, as well as a generalisation of the idea that the conserved charges of the theory form an eigenvector of the Cartan matrix. Finally our results are summarised in Chapter 5, and possible directions for further study are highlighted.
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Cnockaert, Sandrine. "Higher spin gauge field theories: aspects of dualities and interactions." Doctoral thesis, Universite Libre de Bruxelles, 2006. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210849.

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Cette thèse s'inscrit dans le cadre de la physique mathématique des interactions fondamentales. Elle porte sur l'étude des théories de champs qui décrivent les particules élémentaires. En particulier, les théories de champs de spin élevé (plus grand ou égal à 2) sont analysées. Mis à part pour le graviton, vecteur supposé des interactions gravitationnelles, il n'y a aucun indice que ces champs soient présents dans la nature. Cependant leur existence n'est pas impossible théoriquemement et ils interviennent dans la théorie des cordes, candidate pour une théorie quantique d'unification de toutes les forces fondamentales y compris la gravitation. En effet, les modes de vibration de la corde élémentaire sont décrits par des champs de spin élevé.  <p>Dans ce travail, la dimension de l'espace-temps est laissée arbitraire, ce qui entraine la possibilité d'avoir plusieurs sortes (= représentations) de champs différentes ayant le même spin.<p>Le premier aspect traité dans cette thèse concerne les dualités, symétries qui relient entre elles plusieurs théories. Il est montré que différentes représentations de champs de spin élevé sont duales au niveau de l'action. En particulier, en dimension quatre, la dualité échange la composante électrique et la composante magnétique d'un même champs. Cette propriété est ensuite utilisée pour introduire des sources magnétiques pour les champs de spin élevé. La construction généralise les travaux de Dirac sur le couplage au champ électromagnétique de monopoles magnétiques. Une condition de quantification est également dérivée pour des quantités conservées, qui généralise la condition de quantification de Dirac pour la charge électrique en présence de monopoles magnétiques.<p>La deuxième partie de la thèse est consacrée aux interactions de champs de spin élevé. L'analyse est effectuée dans le formalisme de champs et d'antichamps dévelopé par Batalin et Vilkovsky. Elle repose sur la procédure de déformation de l'équation maîtresse mise au point par Henneaux et Barnich. Les champs étudiés sont les champs de spin deux exotiques (c-à-d différents du graviton) ainsi que les champs de spin trois complètement symétriques. Pour les premiers, il est prouvé que toutes les interactions doivent être abélienne. Il n'y a donc pas d'équivalent de la théorie d'Einstein pour ces champs. Dans le cas des champs de spin trois, plusieurs vertex cohérents au premier ordre sont obtenus.<p><p><br><p><p>In this thesis, we consider two aspects of higher-spin gauge field theories: dualities and interactions.<p>The first aspect is related to the presence of dualities, i.e. 'hidden' symmetries among gauge field theories. Do two higher-spin theories corresponding to different irreducible representations of the Poincaré group have the same physical content. Duality relations were already known at the level of the equations of motion and Bianchi identities, here we prove (in some cases) that these dualities hold also at the level of the action. As a consequence, the dual theories are formally equivalent. For example, in five space-time dimensions the spin-two theory of Pauli and Fierz is dual to the theory of a mixed-symmetry spin-two field written by Curtright. <p><p>In four space-time dimensions the duality exchanges the electric and magnetic degrees of freedom of the field. This property leads us to introduce external magnetic sources for higher-spin fields, thereby generalizing to arbitrary spin the work of Dirac on the coupling of magnetic monopoles to the electromagnetic field. Similarly to the quantization condition on the product of the electric and magnetic charges for electromagnetism, there is a quantization condition on the product of conserved ``electric' and ``magnetic' charges for higher spins.<p><p>The second aspect of higher-spin gauge field theories that is analysed in this thesis is the problem of interactions. Self-interactions of exotic spin-two gauge fields are studied, as well as self-interactions of completely symmetric spin-three fields. This is done in the BRST field-antifield formalism developped by Batalin and Vilkovisky, using the technique of consistent deformations of the master equation proposed by Barnich and Henneaux. <p><p><br>Doctorat en sciences, Spécialisation physique<br>info:eu-repo/semantics/nonPublished
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Grasso, Darren Trevor. "Higher order contributions to the effective action of N = 2 and 4 supersymmetric Yang-Mills theories from heat kernel techniques in superspace." University of Western Australia. School of Physics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0179.

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The one-loop effective action for N = 2 and N = 4 supersymmetric Yang-Mills theories are computed to order F5; and F6 respectively by the use of heat kernel techniques in N = 1 superspace. The computations are carried out via the introduction of a new method for computing DeWitt-Seeley coefficients in the coincidence limit. To order F5, the bosonic components of both N = 2 and N = 4 supersymmetric Yang-Mills theories are extracted and compared with the existing literature. For N = 4 super Yang-Mills theories the F5 terms are found to be consistent with the non-Abelian Born-Infeld action computed to this order by superstring methods and various other means of computing deformations of supersymmetric Yang-Mills theory. The result proved to be the final piece of a puzzle, leaving little doubt that there exists a unique deformation of maximally symmetric super Yang-Mills theories at this order. The F6 terms will be of importance for comparison with superstring calculations, including direct tests of the AdS/CFT conjecture. The bosonic components of N = 2 supersymmetric Yang-Mills are also shown to be consistent with existing literature, and will be of importance for testing of generalizations of the AdS/CFT conjecture.
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Longino, Brando. "Exact S-matrices for a class of 1+1-dimensional integrable factorized scattering theories with Uq(sl2) symmetry and arbitrary spins." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20542/.

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In this thesis we will study the S-matrices associated to a new class of (1+1)-dimensional integrable models with Uq(sl2) symmetry, whose asymptotic particle states organize into a k/2 isospin multiplet, with k= 0,1,2,... Such S-matrices generalize the case study previously analyzed by S. R. Aladim and M. J. Martins, where it was only investigated the non-deformed limit q→1 of pure SU(2) symmetry. We check that the proposed S-matrix satisfies the constraints due to the the Yang-Baxter equation, crossing-symmetry requirement and unitarity and therefore defines a self-consistent integrable factorized scattering theory.
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Books on the topic "Higher-dimensional quantum field theories"

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editor, Donagi Ron, Douglas, Michael (Michael R.), editor, Kamenova Ljudmila 1978 editor, and Roček M. (Martin) editor, eds. String-Math 2013: Conference, June 17-21, 2013, Simons Center for Geometry and Physics, Stony Brook, NY. American Mathematical Society, 2014.

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editor, Bouchard Vincent 1979, ed. String-Math 2014: June 9-13, 2014, University of Alberta, Alberta, Canada. American Mathematical Society, 2016.

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Block, Jonathan, 1960- editor of compilation, ed. String-Math 2011. American Mathematical Society, 2012.

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G, Domokos, Horváth Z, and Kövesi-Domokos S, eds. Nonperturbative methods in low dimensional quantum field theories: Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 14, Debrecen, 1990 (August 27-30). World Scientific, 1991.

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1925-, Lundqvist Stig, Morandi Giuseppe, Yü Lu 1937-, and International Centre for Theoretical Physics., eds. Low-dimensional quantum field theories for condensed matter physicists: Lecture notes of ICTP Summer Course, Trieste, Italy, September 1992. World Scientific, 1995.

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Center for Mathematics at Notre Dame and American Mathematical Society, eds. Toplogy and field theories: Center for Mathematics at Notre Dame, Center for Mathematics at Notre Dame : summer school and conference, Topology and field theories, May 29-June 8, 2012, University of Notre Dame, Notre Dame, Indiana. American Mathematical Society, 2014.

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editor, Donagi Ron, Katz Sheldon 1956 editor, Klemm Albrecht 1960 editor, and Morrison, David R., 1955- editor, eds. String-Math 2012: July 16-21, 2012, Universität Bonn, Bonn, Germany. American Mathematical Society, 2015.

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1975-, Champanerkar Abhijit, ed. Interactions between hyperbolic geometry, quantum topology, and number theory: Workshop, June 3-13, 2009, conference, June 15-19, 2009, Columbia University, New ork, NY. American Mathematical Society, 2011.

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Pantev, Tony. Stacks and catetories in geometry, topology, and algebra: CATS4 Conference Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France. American Mathematical Society, 2015.

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author, Winternitz Pavel, ed. Classification and identification of Lie algebras. American Mathematical Society, 2014.

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Book chapters on the topic "Higher-dimensional quantum field theories"

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Jackiw, R. "Higher Symmetries in Lower-Dimensional Models." In Integrable Systems, Quantum Groups, and Quantum Field Theories. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1980-1_7.

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Bazhanov, Vladimir V., and Rodney J. Baxter. "A Three-Dimensional Solvable Model." In Integrable Quantum Field Theories. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_2.

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Mussardo, G. "Correlation Functions in 2-Dimensional Integrable Quantum Field Theories." In Integrable Quantum Field Theories. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_14.

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Eguchi, Tohur. "Two-Dimensional Black Hole and the c = 1 Liouville Theory." In Integrable Quantum Field Theories. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_12.

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Bose, Indrani. "Low-dimensional Quantum Spin Systems." In Field Theories in Condensed Matter Physics. Hindustan Book Agency, 2001. http://dx.doi.org/10.1007/978-93-86279-07-1_8.

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Gervais, Jean-Loup. "The W-Geometry and Quantum-Group Structure of (Generalized) Two-Dimensional Gravities." In Integrable Quantum Field Theories. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_17.

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Münster, Gernot. "Numerical Investigation of Four-Dimensional Field Theories." In Probabilistic Methods in Quantum Field Theory and Quantum Gravity. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4615-3784-7_15.

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Wipf, Andreas. "Two-Dimensional Lattice Gauge Theories and Group Integrals." In Statistical Approach to Quantum Field Theory. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33105-3_14.

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Laughlin, Robert B., Domenico Giuliano, Raffaele Caracciolo, and Olivia L. White. "Quantum Number Fractionalization in Antiferromagnets." In Field Theories for Low-Dimensional Condensed Matter Systems. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04273-1_3.

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Intriligator, K., and N. Seiberg. "Lectures on Supersymmetric Gauge Theories and Electric-Magnetic Duality." In Low-Dimensional Applications of Quantum Field Theory. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-1919-9_8.

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Conference papers on the topic "Higher-dimensional quantum field theories"

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Gracey, John. "Beta-functions in higher dimensional field theories." In Loops and Legs in Quantum Field Theory. Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.260.0063.

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Domokos, G., Z. Horváth, and S. Kovesi-Domokos. "Nonperturbative Methods in Low Dimensional Quantum Field Theories." In 14th Johns Hopkins Workshop on Current Problems in Particle Theory. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814539197.

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Nelson, Philip. "ANALYTIC STRUCTURE OF TWO-DIMENSIONAL QUANTUM FIELD THEORIES." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0005.

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Fabbri, Davide. "Three dimensional Conformal Field Theories from Sasakian seven-manifolds." In Quantum aspects of gauge theories, supersymmetry and unification. Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.004.0015.

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Haegeman, Jutho, J. Ignacio Cirac, Tobias J. Osborne, Henri Verschelde, and Frank Verstraete. "Applying the variational principle to (1+1) dimensional relativistic quantum field theories." In The many faces of QCD. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.117.0029.

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Maharana, Jnanadeva. "Scattering in Higher Dimensional Field Theories: Analyticity Properties and High Energy Behaviors." In The 39th International Conference on High Energy Physics. Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.340.0266.

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Quadri, Andrea. "UV properties of higher dimensional operators in Higgs Effective Field Theories from hidden symmetries." In The European Physical Society Conference on High Energy Physics. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.314.0544.

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Cassiano, Tiago de Sousa Araújo, Fábio Ferreira Monteiro, and Pedro Henrique de Oliveira Neto. "Unveiling the Dynamics of Quasiparticles in Cove-type Graphene Nanoribbons." In VIII Simpósio de Estrutura Eletrônica e Dinâmica Molecular. Universidade de Brasília, 2020. http://dx.doi.org/10.21826/viiiseedmol202074.

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Abstract:
Since its isolation in 2004, graphene has attracted the attention of many scientists due to its excellent transport and mechanical features. However, the use of this material in optoelectronics is limited since it has no bandgap. One can detour it by cutting a graphene sheet laterally. The new carbon nanostructure that emerges from this procedure is known as graphene nanoribbon (GNR). Nowadays, a quest to develop a viable production of these materials drives many researchers. Narita et al.[2] successfully synthesized a candidate using a bottom-up solution procedure, known as cove-type GNR. Despite all the promising attributes, the electronic transport mechanism of this material is so far unexplored. In this work, we investigated through computational simulations the electronic transport of the cove-type GNR. We did so by employing an extended two-dimensional SSH model [3] with a tight-binding effect (electron-phonon coupling). A self-consistent field method generates stationary states, while time evolution is conducted based on the Ehrenfest theorem. Results reveal the formation of two polarized regions after photoionization: a polaron and a bipolaron. These quasiparticles are mobile by the application of a uniform electric field, unveiling its role as a charge transporter. Finally, a semi-classical algorithm evaluates their mobility and effective mass. Calculations indicate that both structures have a low effective mass along with intrinsic mobility. Hence, the cove-type GNRs may be suitable to perform as highly efficient semiconductors in future applications. This study contributes as well to the theoretical understanding of confined quantum systems.
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Carrera, E., A. Pagani, and M. Petrolo. "Static and Dynamic Analysis of Aircraft Structures by Component-Wise Approach." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63600.

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This paper proposes an advanced approach to the analysis of reinforced-shell aircraft structures. This approach, denoted as Component-Wise (CW), is developed by using the Carrera Unified Formulation (CUF). CUF is a hierarchical formulation allowing for the straightforward implementation of any-order one-dimensional (1D) beam theories. Lagrange-like polynomials are used to discretize the displacement field on the cross-section of each component of the structure. Depending on the geometrical and material characteristics of the component, the capabilities of the model can be enhanced and the computational costs can be kept low through smart discretization strategies. The global mathematical model of complex structures (e.g. wings or fuselages) is obtained by assembling each component model at the cross-section level. Next, a classical 1D finite element (FE) formulation is used to develop numerical applications. It is shown that MSC/PATRAN can be used as pre- and post-processor for the CW models, whereas MSC/NASTRAN DMAP alters can be used to solve both static and dynamic problems. A number of typical aeronautical structures are analyzed and CW results are compared to classical beam theories (Euler-Bernoulli and Timoshenko), refined models and classical solid/shell FE solutions from the commercial code MSC/NASTRAN. The results highlight the enhanced capabilities of the proposed formulation. In fact, the CW approach is clearly the natural tool to analyze wing structures, since it leads to results that can be only obtained through three-dimensional elasticity (solid) elements whose computational costs are at least one-order of magnitude higher than CW models.
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Motriuk, Roman W., Timothy Schmidt, John Webster, and Thangavel Thevar. "Determination of Dynamic Velocity and Strain Using Wide Field Holographic Interferometry: Verification." In 2000 3rd International Pipeline Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/ipc2000-276.

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High power and high capacity turbo-compressor systems frequently sustain acoustically induced vibrations. Higher order acoustic modes generated by turbo-compressors often couple selectively with structural pipe resonances producing significant increase in pipe wall vibration. In some instances, these coincidences generate high local stress levels that fatigue pipe shell or pipe attachments. In order to judge the level of dynamic strain and stress in piping systems, elaborate theories are employed. However, these are frequently not practical and relatively difficult to use in industrial applications, for example, in troubleshooting process. First, the accuracy of predicted results depends on assumed boundary conditions. The boundary conditions for on-site cases are rarely known and always difficult to estimate. Second, strains and stresses are complex and often difficult to determine, since they vary in space and time and may be caused by a multimode frequency excitation. Therefore, the strain and stress can only be predicted in reasonable bounds through laborious sensitivity and error analyses, which add further complexity to the already convoluted mathematical predictions. The correct stress level prediction in a structure, by means of directly measured vibrational velocity levels, is very desirable. Therefore, accurate mapping of the vibrational field is necessary. Since the mapping or evaluating of complex vibrational fields is very tedious and expensive using conventional technology (ample number of strain gauges or accelerometers), an alternative technique has been developed: wide field pulsed holographic interferometry. This method provides three dimensional field images of vibrating structures allowing extraction of the actual vibrational responses (displacement and velocity), and calculation of dynamic strain and stress information. These are described by their gradient, peak and phase values obtained from the holograms documenting vibrational fields. This paper describes empirical verification of the wide field pulsed holographic technology which is used to predict a service life of the complex piping structure subjected to multimode frequency excitation. The experimental work was carried out on a sample thin wall vessel, which was either empty or partially filled with water and excited by the hammer or shaker. Through the conversion of vibrational response levels into strain (and stress level), and verification of the conversion against strain gauge measurement results, the technology is proven as a diagnostic tool. It is concluded that there are many advantages of using holography to evaluate complex vibrational fields. They include: i) ‘instant’ results, ii) non-intrusive nature (i.e. the machinery subject to testing can operate without interruptions), iii) satisfactory accuracy, iv) complete and permanent records, and v) significant savings of time and money due to reducing the analysis effort and implementation of suitable recommendations.
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