Dynamical chiral symmetry breaking in unquenched QED{sub 3}

Journal Article · Fri Oct 01 00:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.073007· OSTI ID:20705314

Fischer, C S; Alkofer, R; Dahm, T; Maris, P ^[1]

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1. IPPP, University of Durham, Durham DH1 3LE (United Kingdom)

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.

• OSTI ID: 20705314
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 7; Other Information: DOI: 10.1103/PhysRevD.70.073007; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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