Chiral Symmetry Breaking in Strongly Coupled Quenched QED${}_4$ Using the Dyson-Schwinger Equation Formalism

Abstract

We study chiral symmetry breaking in quenched strong-coupling QED${}_4$ in arbitrary covariant gauge within the Dyson-Schwinger equation formalism. A recently developed numerical renormalization program is fully implemented. Results are compared for three different fermion-photon proper vertex {\it Ansätze\/}: bare ${\gamma }^{\mu }$, minimal Ball-Chiu, and Curtis-Pennington. The procedure is straightforward to implement and numerically stable. We discuss the chiral limit and observe that in this limit the renormalized axial current is conserved. A detailed study of residual gauge dependence due to the vertex choice is in progress. The relevance for lattice studies is discussed.

Comments: 4 pages. Contribution to Lattice 95 proceedings. To appear in Nucl Phys B Suppl. One uuencoded postscript figure. Uses epsfig.sty and espcrc2.sty. Also available as single postscript file at http://www.physics.adelaide.edu.au/theory/home.html or ftp://bragg.physics.adelaide.edu.au/pub/theory/ADP-95-48.T195.ps