Relevant bibliographies by topics / Topological Quantum Field Theories

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Academic literature on the topic 'Topological Quantum Field Theories'

Author: Grafiati
Published: 4 June 2021
Last updated: 22 February 2023

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Journal articles on the topic "Topological Quantum Field Theories"

1

Atiyah, Michael. "Topological quantum field theories." Publications mathématiques de l'IHÉS 68, no. 1 (1988): 175–86. http://dx.doi.org/10.1007/bf02698547.

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BELIAKOVA, ANNA. "SPIN TOPOLOGICAL QUANTUM FIELD THEORIES." International Journal of Mathematics 09, no. 02 (1998): 129–52. http://dx.doi.org/10.1142/s0129167x98000099.

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Starting from the quantum group [Formula: see text], we construct operator invariants of 3-cobordisms with spin structure, satisfying the requirements of a topological quantum field theory and refining the Reshetikhin–Turaev and Turaev–Viro models. We establish the relationship between these two refined theories.
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Banagl, Markus. "Positive topological quantum field theories." Quantum Topology 6, no. 4 (2015): 609–706. http://dx.doi.org/10.4171/qt/71.

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Zhang, Zhidong. "Topological Quantum Statistical Mechanics and Topological Quantum Field Theories." Symmetry 14, no. 2 (2022): 323. http://dx.doi.org/10.3390/sym14020323.

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The Ising model describes a many-body interacting spin (or particle) system, which can be utilized to imitate the fundamental forces of nature. Although it is the simplest many-body interacting system of spins (or particles) with Z2 symmetry, the phenomena revealed in Ising systems may afford us lessons for other types of interactions in nature. In this work, we first focus on the mathematical structure of the three-dimensional (3D) Ising model. In the Clifford algebraic representation, many internal factors exist in the transfer matrices of the 3D Ising model, which are ascribed to the topolo
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Zhu, Honglin. "The Hermitian axiom on two-dimensional topological quantum field theories." Journal of Mathematical Physics 64, no. 2 (2023): 022301. http://dx.doi.org/10.1063/5.0121440.

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We examine Atiyah’s Hermitian axiom for two-dimensional complex topological quantum field theories. Building on the correspondence between 2D topological quantum field theories (TQFTs) and Frobenius algebras, we find the algebraic objects corresponding to Hermitian and unitary TQFTs, respectively, and prove structure theorems about them. We then clarify a few older results on unitary TQFTs using our structure theorems.
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FERREIRA, MIGUEL J. B., VICTOR A. PEREIRA та PAULO TEOTONIO-SOBRINHO. "QUASI-TOPOLOGICAL QUANTUM FIELD THEORIES AND ℤ2 LATTICE GAUGE THEORIES". International Journal of Modern Physics A 27, № 23 (2012): 1250132. http://dx.doi.org/10.1142/s0217751x12501321.

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We consider a two-parameter family of ℤ2 gauge theories on a lattice discretization [Formula: see text] of a three-manifold [Formula: see text] and its relation to topological field theories. Familiar models such as the spin-gauge model are curves on a parameter space Γ. We show that there is a region Γ0 ⊂ Γ where the partition function and the expectation value 〈WR(γ)〉 of the Wilson loop can be exactly computed. Depending on the point of Γ0, the model behaves as topological or quasi-topological. The partition function is, up to a scaling factor, a topological number of [Formula: see text]. Th
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Costantino, Francesco. "Notes on Topological Quantum Field Theories." Winter Braids Lecture Notes 2 (2015): 1–45. http://dx.doi.org/10.5802/wbln.7.

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Guadagnini, Enore. "Field operators in topological quantum theories." Journal of Physics A: Mathematical and Theoretical 44, no. 41 (2011): 415404. http://dx.doi.org/10.1088/1751-8113/44/41/415404.

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Turaev, Vladimir G. "Axioms for topological quantum field theories." Annales de la faculté des sciences de Toulouse Mathématiques 3, no. 1 (1994): 135–52. http://dx.doi.org/10.5802/afst.777.

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Lévy, Thierry. "Topological quantum field theories and Markovian random fields." Bulletin des Sciences Mathématiques 135, no. 6-7 (2011): 629–49. http://dx.doi.org/10.1016/j.bulsci.2011.07.010.

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Dissertations / Theses on the topic "Topological Quantum Field Theories"

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De, Renzi Marco. "Construction of extended topological quantum field theories." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC114/document.

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La position centrale occupée par les Théories Quantiques des Champs Topologiques (TQFTs) dans l’étude de la topologie en basse dimension est due à leur structure extraordinairement riche, qui permet différentes interactions et applications à des questions de nature géométrique. Depuis leur première apparition, un grand effort a été mis dans l’extension des invariants quantiques de 3-variétés en TQFTs et en TQFT Étendues (ETQFTs). Cette thèse s’attaque à ce problème dans deux cadres généraux différents. Le premier est l’étude des invariants quantiques semi-simples de Witten, Reshetikhin et Tura
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Wrazidlo, Dominik [Verfasser], and Markus [Akademischer Betreuer] Banagl. "Fold maps and positive topological quantum field theories / Dominik Wrazidlo ; Betreuer: Markus Banagl." Heidelberg : Universitätsbibliothek Heidelberg, 2017. http://d-nb.info/1178009157/34.

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Hesse, Jan [Verfasser], and Christoph [Akademischer Betreuer] Schweigert. "Group Actions on Bicategories and Topological Quantum Field Theories / Jan Hesse ; Betreuer: Christoph Schweigert." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2017. http://d-nb.info/1137625104/34.

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Klos, Fabian [Verfasser], and Daniel [Akademischer Betreuer] Roggenkamp. "Embedding topological quantum field theories functorially in the UV / Fabian Klos ; Betreuer: Daniel Roggenkamp." Heidelberg : Universitätsbibliothek Heidelberg, 2021. http://nbn-resolving.de/urn:nbn:de:bsz:16-heidok-302659.

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Hesse, Jan Verfasser], and Christoph [Akademischer Betreuer] [Schweigert. "Group Actions on Bicategories and Topological Quantum Field Theories / Jan Hesse ; Betreuer: Christoph Schweigert." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2017. http://d-nb.info/1137625104/34.

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Belliard, Raphaël. "Geometry of integrable systems : from topological Lax systems to conformal field theories." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066175/document.

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Cette thèse de doctorat traite d’un cadre en géométrie complexe et de méthodes pouvant y être développées pour résoudre des ensembles d’équations différentielles compatibles venant de systèmes intégrables, classiques ou quantiques, dans le contexte de la géométrie d’espaces de modules de connexions au-dessus de courbes complexes, ou surfaces de Riemann. Elle vient de l’idée en physique mathématique que les symétries des systèmes intégrables imposent aux objets d’intérêt (fonctions de partitions ou de corrélations) des contraintes algébro-différentielles nommées équations de boucles. Le but est
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Calvanese, Strinati Marcello. "Topological effects in one-dimensional quantum systems." Doctoral thesis, Scuola Normale Superiore, 2018. http://hdl.handle.net/11384/85903.

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Imaanpur, Ali. "Aspects of topological field theories." Title page, contents and abstract only, 1998. http://web4.library.adelaide.edu.au/theses/09PH/09phi31.pdf.

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Kerr, Steven. "Topological quantum field theory and quantum gravity." Thesis, University of Nottingham, 2014. http://eprints.nottingham.ac.uk/14094/.

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This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a 1-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-function regularisation. Some implications for more physical models are discussed. In the second part, the gauge gravity action is written using a particularly simple matrix technique. The coupling to scalar, fermion and Yang-Mills fields is reviewed, with some small additions. A sum over histories
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Lifschytz, Gilad. "Quantum gravity and topological field theory." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/33529.

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Books on the topic "Topological Quantum Field Theories"

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Trieste Conference on Topological Methods in Quantum Field Theories (1990 June 11-15 Trieste, Italy). Topological methods in quantum field theories. Edited by International Centre for Theoretical Physics., International Atomic Energy Agency, and Unesco. World Scientific, 1991.

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2

Society, London Mathematical, ed. Frobenius algebras and 2D topological quantum field theories. Cambridge University Press, 2003.

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Ibort, L. A. Integrable Systems, Quantum Groups, and Quantum Field Theories. Springer Netherlands, 1993.

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AMS-IMS-SIAM, Summer Research Conference on Conformal Field Theory Topological Field Theory and Quantum Groups (1992 Mount Holyoke College). Mathematical aspects of conformal and topological field theories and quantum groups. American Mathematical Society, 1994.

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Sally, Paul J., Moshé Flato, James Lepowsky, Nicolai Reshetikhin, and Gregg J. Zuckerman, eds. Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups. American Mathematical Society, 1994. http://dx.doi.org/10.1090/conm/175.

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Werner, Nahm, International Centre for Theoretical Physics., International Atomic Energy Agency, and Unesco, eds. Trieste Conference on Topological Methods in Quantum Field Theories, ICTP, Trieste, Italy, 11-15 June 1990. World Scientific, 1991.

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Paolo, Soriani, ed. The N=2 wonderland: From Calabi-Yau manifolds to topological field-theories. World Scientific Pub., 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, 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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Book chapters on the topic "Topological Quantum Field Theories"

1

Rabinovici, E. "Remarks on Topological String Theories." In Quantum Field Theory and String Theory. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-1819-8_20.

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Freed, Daniel S. "Lectures on Topological Quantum Field Theory." In Integrable Systems, Quantum Groups, and Quantum Field Theories. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1980-1_5.

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Dubrovin, B. "Topological Conformal Field Theory from the Point of View of Integrable Systems." In Integrable Quantum Field Theories. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_19.

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Schaposnik, Fidel A. "Some Topics in Topological Quantum Field Theories." In Quantum Mechanics of Fundamental Systems 3. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3374-0_11.

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Sonnenschein, Jacob. "Moduli Spaces and Topological Quantum Field Theories." In Differential Geometric Methods in Theoretical Physics. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-9148-7_58.

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Freed, Daniel, Michael Hopkins, Jacob Lurie, and Constantin Teleman. "Topological quantum field theories from compact Lie groups." In A Celebration of the Mathematical Legacy of Raoul Bott. American Mathematical Society, 2010. http://dx.doi.org/10.1090/crmp/050/26.

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Durand, Philippe. "Topological Invariants in Engineering Sciences and Quantum Field Theories." In Transactions on Engineering Technologies. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-32-9531-5_3.

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Krichever, I. "Whitham Theory for Integrable Systems and Topological Quantum Field Theories." In NATO ASI Series. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3472-3_11.

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Grossman, B. "Topological Quantum Field Theories: Relations between Knot Theory and Four Manifold Theory." In Differential Geometric Methods in Theoretical Physics. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-9148-7_53.

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Turaev, Vladimir, and Alexis Virelizier. "Topological Quantum Field Theory." In Monoidal Categories and Topological Field Theory. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49834-8_10.

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Conference papers on the topic "Topological Quantum Field Theories"

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Nahm, W., S. Randjbar-Daemi, E. Sezgin, and E. Witten. "TOPOLOGICAL METHODS IN QUANTUM FIELD THEORIES." In Trieste Conference on Topological Methods in Quantum Field Theories. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814539524.

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Flachi, Antonino, and Vincenzo Vitagliano. "Interacting quantum field theories and topological defects." In Proceedings of the MG15 Meeting on General Relativity. WORLD SCIENTIFIC, 2022. http://dx.doi.org/10.1142/9789811258251_0214.

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Fehér, László, András Stipsicz, and János Szenthe. "TOPOLOGICAL QUANTUM FIELD THEORIES AND GEOMETRY OF LOOP SPACES." In Proceedings of the Conference on Geometry and Analysis of Loop Spaces. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814536622.

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BLANCHET, CHRISTIAN. "INTRODUCTION TO QUANTUM INVARIANTS OF 3-MANIFOLDS, TOPOLOGICAL QUANTUM FIELD THEORIES AND MODULAR CATEGORIES." In Proceedings of the Summer School. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705068_0004.

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Smolyakov, Mikhail. "No-go results for non-topological solitons in some types of gauge field theories." In The XXth International Workshop High Energy Physics and Quantum Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.138.0032.

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FIGUEROA-O'FARRILL, J. M. "UNTWISTING TOPOLOGICAL FIELD THEORIES." In Proceedings of the Workshop. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 1997. http://dx.doi.org/10.1142/9781848160927_0015.

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Krajewski, Thomas. "Group Field Theories." In 3rd Quantum Gravity and Quantum Geometry School. Sissa Medialab, 2013. http://dx.doi.org/10.22323/1.140.0005.

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GRIGORE, D. R. "SUPERSYMMETRIC QUANTUM FIELD THEORIES." In Perspectives of the Balkan Collaborations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702166_0020.

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Gattringer, Christof, Mariia Anosova, Daniel Göschl, Tin Sulejmanpasic, and Pascal Törek. "Topological terms in abelian lattice field theories." In 37th International Symposium on Lattice Field Theory. Sissa Medialab, 2020. http://dx.doi.org/10.22323/1.363.0082.

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Albandea, David, Pilar Hernandez, Alberto Ramos, and Fernando Romero-Lopez. "Improved topological sampling for lattice gauge theories." In The 38th International Symposium on Lattice Field Theory. Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0183.

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Reports on the topic "Topological Quantum Field Theories"

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Binger, Michael William, and /Stanford U., Phys. Dept. /SLAC. The Physical Renormalization of Quantum Field Theories. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/899841.

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Nicolis, Alberto. Final Scientific/Technical Report-Quantum Field Theories for Cosmology. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1425341.

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Соловйов, Володимир Миколайович, and D. N. Chabanenko. Financial crisis phenomena: analysis, simulation and prediction. Econophysic’s approach. Гумбольдт-Клуб Україна, 2009. http://dx.doi.org/10.31812/0564/1138.

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With the beginning of the global financial crisis, which attracts the attention of the international community, the inability of existing methods to predict the events became obvious. Creation, testing, adaptation of the models to the concrete financial market segments for the purpose of monitoring, early prediction, prevention and notification of financial crises is gaining currency nowadays. Econophysics is an interdisciplinary research field, applying theories and methods originally developed by physicists in order to solve problems in economics, usually those including uncertainty or stoch
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Task A, High Energy Physics Program experiment and theory: Task B, High Energy Physics Program numerical simulation of quantum field theories. Progress report, July 1, 1991--June 30, 1992. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/10103376.

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Task A, High Energy Physics Program experiment and theory: Task B, High Energy Physics Program numerical simulation of quantum field theories. [Particle Physics Group, Physics Dept. , The Florida State Univ. , Tallahassee]. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/6851536.

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