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

Physics – High Energy Physics – High Energy Physics - Lattice

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4 pages. Contribution to Lattice 95 proceedings. To appear in Nucl Phys B Suppl. One uuencoded postscript figure. Uses epsfig.

Scientific paper

10.1016/0920-5632(96)00152-1

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 Ans\"{a}tze\/}: 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.

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