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 DysonSchwinger equations for the fermion and photon propagators. For the fermionphoton interaction we employ an ansatz which satisfies its WardGreenTakahashi identity. We present selfconsistent 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 DysonSchwinger 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:

 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 05562821
 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, D72070 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, D72070 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, D72070 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, D72070 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 DysonSchwinger equations for the fermion and photon propagators. For the fermionphoton interaction we employ an ansatz which satisfies its WardGreenTakahashi identity. We present selfconsistent 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 DysonSchwinger 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 = {05562821},
number = 7,
volume = 70,
place = {United States},
year = {2004},
month = {10}
}