Renormalization and Chiral Symmetry Breaking in Quenched QED in Arbitrary Covariant Gauge

Abstract

We extend a previous Landau-gauge study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in strong-coupling, quenched QED_4 to arbitrary covariant gauges. We use the fermion-photon proper vertex proposed by Curtis and Pennington with an additional correction term included to compensate for the small gauge-dependence induced by the ultraviolet regulator. We discuss the chiral limit and the onset of dynamical chiral symmetry breaking in the presence of nonperturbative renormalization. We extract the critical coupling in several different gauges and find evidence of a small residual gauge-dependence in this quantity.

arXiv commentREVTEX 3.0, 27 pages including 14 Extended Postscript files comprising 9 figures. Replacement: discussion of chiral limit corrected, and some minor typographical errors fixed. To appear in Phys. Rev. D

References in corpus (7)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• ONE LOOP QED VERTEX IN ANY COVARIANT GAUGE: ITS COMPLETE ANALYTIC FORM
• Gauge independent Chiral Symmetry Breaking in Quenched QED
• Model gluon propagator and pion and rho-meson observables
• Gauge covariant fermion propagator in quenched, chirally-symmetric quantum electrodynamics
• Constraint on the QED Vertex from the Mass Anomalous Dimension ${\gamma }_m=1$
• Chiral Symmetry Breaking in Quenched Massive Strong-Coupling QED${}_4$

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