Chiral Symmetry Breaking in Strongly Coupled Quenched QED4 Using the Dyson-Schwinger Equation Formalism
Abstract
We study chiral symmetry breaking in quenched strong-coupling QED4 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 Ans\"atze\/: bare γμ, 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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