Academic literature on the topic 'Gauge field theory; Fermions'

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Journal articles on the topic "Gauge field theory; Fermions"

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Liu, Yu-Fen, and Zhong-Yuan Zhu. "Gauge Field Theory for Fermions." Communications in Theoretical Physics 22, no. 4 (1994): 455–66. http://dx.doi.org/10.1088/0253-6102/22/4/455.

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Dehghan, Zeinab, Sedigheh Deldar, Manfried Faber, Rudolf Golubich, and Roman Höllwieser. "Influence of Fermions on Vortices in SU(2)-QCD." Universe 7, no. 5 (2021): 130. http://dx.doi.org/10.3390/universe7050130.

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Gauge fields control the dynamics of fermions, and, in addition, a back reaction of fermions on the gauge field is expected. This back reaction is investigated within the vortex picture of the QCD vacuum. We show that the center vortex model reproduces the string tension of the full theory also in the presence of fermionic fields.
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Yablon, Jay R. "QCD Theory of the Hadrons and Filling the Yang–Mills Mass Gap." Symmetry 12, no. 11 (2020): 1887. http://dx.doi.org/10.3390/sym12111887.

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The rank-3 antisymmetric tensors which are the magnetic monopoles of SU(N) Yang–Mills gauge theory dynamics, unlike their counterparts in Maxwell’s U(1) electrodynamics, are non-vanishing, and do permit a net flux of Yang–Mills analogs to the magnetic field through closed spatial surfaces. When electric source currents of the same Yang–Mills dynamics are inverted and their fermions inserted into these Yang–Mills monopoles to create a system, this system in its unperturbed state contains exactly three fermions due to the monopole rank-3 and its three additive field strength gradient terms in co
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GIROTTI, H. O. "CANONICAL QUANTIZATION OF THE SELF-DUAL MODEL COUPLED TO FERMIONS." International Journal of Modern Physics A 14, no. 16 (1999): 2495–510. http://dx.doi.org/10.1142/s0217751x99001238.

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This paper is devoted to formulating the interaction-picture dynamics of the self-dual field minimally coupled to fermions. As a preliminary, we quantize the free self-dual model by means of the Dirac-bracket quantization procedure. The free self-dual model turns out to be a relativistically invariant quantum field theory whose excitations are identical to the physical (gauge-invariant) excitations of the free Maxwell–Chern–Simons theory. The interacting model is also quantized through the Dirac-bracket quantization procedure. One of the self-dual field components is found not to commute, at e
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GIULINI, DOMENICO. "INDUCED CONNECTIONS IN FIELD THEORY: THE ODD-DIMENSIONAL YANG–MILLS CASE." International Journal of Modern Physics A 10, no. 07 (1995): 1005–17. http://dx.doi.org/10.1142/s0217751x95000498.

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We consider SU(N) Yang–Mills theories in (2n + 1)-dimensional Euclidean space–time, where N ≥ n+1, coupled to an even flavor number of Dirac fermions. After integration over the fermionic degrees of freedom, the wave functional for the gauge field inherits a nontrivial U(1) connection which we compute in the limit of infinite fermion mass. Its Chern class turns out to be just half the flavor number, so that the wave functional now becomes a section in a nontrivial complex line bundle. The topological origin of this phenomenon is explained in both the Lagrangian and the Hamiltonian picture.
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Adler, Stephen L. "SU(8) family unification with boson–fermion balance." International Journal of Modern Physics A 29, no. 22 (2014): 1450130. http://dx.doi.org/10.1142/s0217751x14501309.

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We formulate an SU(8) family unification model motivated by requiring that the theory should incorporate the graviton, gravitinos, and the fermions and gauge fields of the standard model, with boson–fermion balance. Gauge field SU(8) anomalies cancel between the gravitinos and spin ½ fermions. The 56 of scalars breaks SU(8) to SU(3) family × SU(5) × U(1)/Z5, with the fermion representation content needed for "flipped" SU(5) with three families, and with residual scalars in the 10 and [Formula: see text] representations that break flipped SU(5) to the standard model. Dynamical symmetry breaking
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KHOKHLACHEV, S., and YU MAKEENKO. "ADJOINT FERMIONS INDUCE QCD." Modern Physics Letters A 07, no. 39 (1992): 3653–67. http://dx.doi.org/10.1142/s0217732392003086.

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We propose to induce QCD by fermions in the adjoint representation of the gauge group SU (Nc) on the lattice. We consider various types of lattice fermions: chiral, Kogut-Susskind and Wilson ones. Using the mean field method we show that a first order large-N phase transition occurs with decreasing fermion mass. We conclude, therefore, that adjoint fermions induce QCD. We draw the same conclusion for the adjoint scalar or fermion models at large number of flavors Nf when they induce a single-plaquette lattice gauge theory. We find an exact strong coupling solution for the adjoint fermion model
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BELYAEV, V. M., and IAN I. KOGAN. "MASSLESS FERMIONS IN KALUZA-KLEIN MODELS: SU(N) GAUGE FIELDS, ZN SYMMETRY AND STABILITY OF THE METASTABLE VACUUM." Modern Physics Letters A 07, no. 02 (1992): 117–29. http://dx.doi.org/10.1142/s0217732392000057.

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Kaluza-Klein model on M4×S1 with SU (N) gauge fields and Nf fermions in fundamental representation is considered. It is noted that on one-loop level the lowest state of this theory corresponds to effective four-dimensional theory which has no massless fermions. This statement does not depend on fermion boundary conditions. The state with mass-less four-dimensional fermions is metastable. It is shown that this metastable states can be stabilized by effects of classical gravitation. The same problem of metastability of states with zero fermionic modes can appear in more realistic superstring com
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Fleck, M., A. Foerster, H. O. Girotti, M. Gomes, J. R. S. Nascimento, and A. J. da Silva. "Coulomb Gauge Quantization and Renormalization of the Chern–Simons Theory Coupled to Fermions." International Journal of Modern Physics A 12, no. 16 (1997): 2889–901. http://dx.doi.org/10.1142/s0217751x97001596.

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We study the quantization and the one-loop renormalization of the model resulting from the coupling of charged fermions with a Chern–Simons field, in the Coulomb gauge. A proof of the Lorentz covariance of the physical quantities follows after establishing the Dirac–Schwinger algebra for the Poincaré densities and the transformation properties of the fields under the Poincaré group. The Coulomb gauge one-loop renormalization program is, afterwards, implemented. The noncovariant form of the one-loop fermion propagator, Chern–Simons field propagator and the vertex are explicitly obtained. Finall
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Giordano, Matteo, and Tamás Kovács. "Localization of Dirac Fermions in Finite-Temperature Gauge Theory." Universe 7, no. 6 (2021): 194. http://dx.doi.org/10.3390/universe7060194.

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It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can undergo an Anderson-type localization transition. This transition affects eigenmodes in the lowest part of the Dirac spectrum, the ones most relevant to the low-energy physics of these models. Here we review several aspects of this phenomenon, mostly using the tools of lattice gauge theory. In particular, we discuss how the transition is related to the finite-temperature transitions leading to the deconfinement of fermions, as well as to the restoration of chiral symmetry that is spontaneously broken at
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Dissertations / Theses on the topic "Gauge field theory; Fermions"

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Bright-Thomas, Paul Gareth. "A measurement of the forward-backward asymmetry of Z#->##mu#'+#mu#'- and a search for an additional neutral vector gauge boson using electroweak observables at OPAL." Thesis, Brunel University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262512.

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Nolland, David John. "Quantum field theories with fermions in the Schrödinger representation." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4410/.

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This thesis is concerned with the Schrödinger representation of quantum field theory. We describe techniques for solving the Schrödinger equation which supplement the standard techniques of field theory. Our aim is to develop these to the point where they can readily be used to address problems of current interest. To this end, we study realistic models such as gauge theories coupled to dynamical fermions. For maximal generality we consider particles of all physical spins, in various dimensions, and eventually, curved spacetimes. We begin by considering Gaussian fields, and proceed to a detail
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Kizilersü, Ayşe. "Gauge theory constraints on the fermion-boson vertex." Thesis, Durham University, 1995. http://etheses.dur.ac.uk/4886/.

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In this thesis we investigate the role played by fundamental properties of QED in determining the non-perturbative fermion-boson vertex. These key features are gauge invariance and multiplicative renormalisability. We use the Schwinger-Dyson equations as the non- perturbative tool to study the general structure of the fermion-boson vertex in QED. These equations, being an infinite set, have to be truncated if they are to be solved. Such a truncation is made possible by choosing a suitable non-perturbative ansatz for the fermion-boson vertex. This choice must satisfy these key properties of gau
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Flachi, Antonino. "Quantum field theory on brane backgrounds." Thesis, University of Newcastle Upon Tyne, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366586.

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Katona, Gregory. "Field Theoretic Lagrangian From Off-Shell Supermultiplet Gauge Quotients." Doctoral diss., University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5958.

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Recent efforts to classify off-shell representations of supersymmetry without a central charge have focused upon directed, supermultiplet graphs of hypercubic topology known as Adinkras. These encodings of Super Poincare algebras, depict every generator of a chosen supersymmetry as a node-pair transformtion between fermionic / bosonic component fields. This research thesis is a culmination of investigating novel diagrammatic sums of gauge quotients by supersymmetric images of other Adinkras, and the correlated building of field theoretic worldline Lagrangians to accommodate both classical and
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Broccoli, Matteo. "On the trace anomaly of a Weyl fermion in a gauge background." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16408/.

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In this thesis we study the trace anomaly of a Weyl fermion in an abelian gauge background. We first introduce the topic of anomaly in Quantum Fields Theory and provide case studies of a global and a gauge anomaly. Then, we review the lagrangians of the Weyl fermion and Dirac fermion, the models that are the focus of our chiral and trace anomaly computations. Since we evaluate the anomalies using Pauli-Villars (PV) regularization, we present different PV masses and discuss the classical symmetries they break. We identify the differential operators that enter our regularization schemes and we
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Lucena, Gomez Gustavo. "Aspects of higher-spin theory with fermions." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209320.

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The present thesis is divided into three parts. In Part I we address a problem within Higher-Spin Gauge Theory in dimension three: namely, that of computing the asymptotic symmetry algebra of supersymmetric models, describing an infinite spectrum of integer and half-integer higher-spin fields. In Part II we investigate higher-spin theories in dimension four or greater, where we classify the consistent cross interactions between free gauge fermions of arbitrary spin and a photon or a graviton. A third part supplements the bulk of the manuscript with technical appendices. <p><p>Part I is concern
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Feng, Bo 1971. "D-branes, gauge theory and string field theory." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/8491.

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Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 2002.<br>Includes bibliographical references (p. 245-262).<br>In this thesis, we present several works done in last three years. They include three directions in the string theory. In the first direction, we use the brane setup to find mirror pairs of SO(n) and Sp(k) gauge groups for N = 4 three-dimensional gauge field theories. To reach this result, we analyze carefully the s-configuration and predict a nontrivial string dynamics, i.e., the splitting of branes on the orientifold planes. In the second direction, we develo
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Latimer, David C. "Mathematical aspects of fermions in quantum field theory." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249482.

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Kim, YÅ ng-baek. "Interaction of composite fermions with a gauge field in the fractional quantum Hall regime." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/32672.

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Books on the topic "Gauge field theory; Fermions"

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The principle of the fermionic projector. American Mathematical Society, 2005.

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Zeidler, Eberhard. Quantum Field Theory III: Gauge Theory. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22421-8.

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G, Matinyan S., and Müller Berndt 1950-, eds. Chaos and gauge field theory. World Scientific, 1994.

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Alexander, Love, ed. Introduction to gauge field theory. Institute of Physics Pub., 1993.

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Bailin, David. Introduction to gauge field theory. Hilger, in association with the University of Sussex Press, 1986.

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Bailin, David. Introduction to gauge field theory. A. Hilger, Published in association with the University of Sussex Press, 1986.

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Alexander, Love, ed. Supersymmetric gauge field theory and string theory. Institute of Physics Pub., 1994.

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Pokorski, Stefan. Gauge field theories. Cambridge University Press, 1987.

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G, Velo, and Wightman A. S, eds. Fundamental problems of gauge field theory. Plenum Press, 1986.

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I, Manin I͡U. Gauge field theory and complex geometry. 2nd ed. Springer, 1997.

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Book chapters on the topic "Gauge field theory; Fermions"

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Martin, C. P. "Remarks on the Renormalisation of Fermions Coupled to Gauge Fields in the Zwanziger Gauge." In Probabilistic Methods in Quantum Field Theory and Quantum Gravity. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4615-3784-7_30.

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de Souza, Stephen W. "Mean Field Theory and Beyond for Gauge-Higgs-Fermion Theories." In Particle Physics. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-5790-2_12.

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Laine, Mikko, and Aleksi Vuorinen. "Fermions." In Basics of Thermal Field Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31933-9_4.

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Folland, Gerald. "Gauge field theories." In Quantum Field Theory. American Mathematical Society, 2008. http://dx.doi.org/10.1090/surv/149/09.

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Scheck, Florian. "Local Gauge Theories." In Classical Field Theory. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-55579-8_5.

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Padmanabhan, Thanu. "Real Life II: Fermions and QED." In Quantum Field Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28173-5_5.

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Bandyopadhyay, Pratul. "Fermions and Topology." In Geometry, Topology and Quantum Field Theory. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-1697-0_2.

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Mosel, Ulrich. "Green’s Functions for Fermions." In Path Integrals in Field Theory. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18797-1_10.

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Ydri, Badis. "Noncommutative Gauge Theory." In Lectures on Matrix Field Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46003-1_6.

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Laine, Mikko, and Aleksi Vuorinen. "Gauge Fields." In Basics of Thermal Field Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31933-9_5.

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Conference papers on the topic "Gauge field theory; Fermions"

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Nogradi, Daniel. "SU(3) gauge theory with sextet fermions." In XXIX International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0010.

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Shamir, Yigal, Thomas DeGrand, and Benjamin Svetitsky. "Gauge theories with fermions in two-index representations." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0064.

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DeGrand, Thomas, Yigal Shamir, and Benjamin Svetitsky. "Gauge theories with fermions in the two-index symmetric representation." In XXIX International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0060.

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Mathur, Nilmani, S. Datta, Subhasish Basak, Andrew Lytle, Padmanath Madanagopalan, and Pushan Majumdar. "Hadron spectra from overlap fermions on HISQ gauge configurations." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0243.

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Kronfeld, Andreas. "Lattice gauge theory with staggered fermions: how, where, and why (not)." In The XXV International Symposium on Lattice Field Theory. Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0016.

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Matsufuru, Hideo, and Norikazu Yamada. "Simulation of SU(2) gauge theory with improved domain-wall fermions." In 34th annual International Symposium on Lattice Field Theory. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.256.0385.

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Hietanen, Ari. "Simulations of SO(4) gauge theory with two fundamental Wilson fermions." In The 30th International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.164.0065.

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Matsufuru, Hideo, Kei-ichi Nagai, and Norikazu Yamada. "SU(2) gauge theory with many flavors of domain-wall fermions." In The 32nd International Symposium on Lattice Field Theory. Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0241.

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Drach, Vincent, Rudy Arthur, Ari Hietanen, et al. "Scattering lengths in SU(2) Gauge Theory with two Fundamental Fermions." In The 32nd International Symposium on Lattice Field Theory. Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0271.

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Brambilla, M., Francesco Di Renzo, and Luigi Scorzato. "High loop renormalization constants for Wilson fermions/Symanzik improved gauge action." In The XXVII International Symposium on Lattice Field Theory. Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0211.

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Reports on the topic "Gauge field theory; Fermions"

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Chan, H. S. Continuum regularization of gauge theory with fermions. Office of Scientific and Technical Information (OSTI), 1987. http://dx.doi.org/10.2172/6347357.

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