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Title: Dynamical chiral symmetry breaking in unquenched QED{sub 3}

Abstract

We investigate dynamical chiral symmetry breaking in unquenched QED{sub 3} using the coupled set of Dyson-Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its Ward-Green-Takahashi identity. We present self-consistent analytical solutions in the infrared as well as numerical results for all momenta. In Landau gauge, we find a phase transition at a critical number of flavors of N{sub f}{sup crit}{approx_equal}4. In the chirally symmetric phase the infrared behavior of the propagators is described by power laws with interrelated exponents. For N{sub f}=1 and N{sub f}=2 we find small values for the chiral condensate in accordance with bounds from recent lattice calculations. We investigate the Dyson-Schwinger equations in other linear covariant gauges as well. A comparison of their solutions to the accordingly transformed Landau gauge solutions shows that the quenched solutions are approximately gauge covariant, but reveals a significant amount of violation of gauge covariance for the unquenched solutions.

Authors:
; ; ;  [1]
  1. IPPP, University of Durham, Durham DH1 3LE (United Kingdom)
Publication Date:
OSTI Identifier:
20705314
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.70.073007; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANALYTICAL SOLUTION; CHIRAL SYMMETRY; CHIRALITY; COMPARATIVE EVALUATIONS; FLAVOR MODEL; GAUGE INVARIANCE; LATTICE FIELD THEORY; PARTICLE INTERACTIONS; PHASE TRANSFORMATIONS; PHOTONS; PROPAGATOR; QUANTUM ELECTRODYNAMICS; SCHWINGER FUNCTIONAL EQUATIONS; SCHWINGER SOURCE THEORY; SYMMETRY BREAKING

Citation Formats

Fischer, C S, Alkofer, R, Dahm, T, Maris, P, Institute for Theoretical Physics, University of Tuebingen, D-72070 Tuebingen, and Dept. of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260. Dynamical chiral symmetry breaking in unquenched QED{sub 3}. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.073007.
Fischer, C S, Alkofer, R, Dahm, T, Maris, P, Institute for Theoretical Physics, University of Tuebingen, D-72070 Tuebingen, & Dept. of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260. Dynamical chiral symmetry breaking in unquenched QED{sub 3}. United States. https://doi.org/10.1103/PhysRevD.70.073007
Fischer, C S, Alkofer, R, Dahm, T, Maris, P, Institute for Theoretical Physics, University of Tuebingen, D-72070 Tuebingen, and Dept. of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260. Fri . "Dynamical chiral symmetry breaking in unquenched QED{sub 3}". United States. https://doi.org/10.1103/PhysRevD.70.073007.
@article{osti_20705314,
title = {Dynamical chiral symmetry breaking in unquenched QED{sub 3}},
author = {Fischer, C S and Alkofer, R and Dahm, T and Maris, P and Institute for Theoretical Physics, University of Tuebingen, D-72070 Tuebingen and Dept. of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260},
abstractNote = {We investigate dynamical chiral symmetry breaking in unquenched QED{sub 3} using the coupled set of Dyson-Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its Ward-Green-Takahashi identity. We present self-consistent analytical solutions in the infrared as well as numerical results for all momenta. In Landau gauge, we find a phase transition at a critical number of flavors of N{sub f}{sup crit}{approx_equal}4. In the chirally symmetric phase the infrared behavior of the propagators is described by power laws with interrelated exponents. For N{sub f}=1 and N{sub f}=2 we find small values for the chiral condensate in accordance with bounds from recent lattice calculations. We investigate the Dyson-Schwinger equations in other linear covariant gauges as well. A comparison of their solutions to the accordingly transformed Landau gauge solutions shows that the quenched solutions are approximately gauge covariant, but reveals a significant amount of violation of gauge covariance for the unquenched solutions.},
doi = {10.1103/PhysRevD.70.073007},
url = {https://www.osti.gov/biblio/20705314}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 70,
place = {United States},
year = {2004},
month = {10}
}