Gauge Covariance and the Fermion-photon Vertex in 3-dimensional and 4-dimensional, Massless Quantum Electrodynamics

CJ BURDEN, CD ROBERTS

Research output: Contribution to journalArticlepeer-review

Abstract

In the quenched approximation, the gauge covariance properties of three vertex Ansatze in the Schwinger-Dyson equation for the fermion self-energy are analyzed in three- and four-dimensional quantum electrodynamics. Based on the Cornwall-Jackiw-Tomboulis effective action, it is inferred that the spectral representation used for the vertex in the gauge technique cannot support dynamical chiral symmetry breaking. A criterion for establishing whether a given Ansatz can confer gauge covariance upon the Schwinger-Dyson equation is presented and the Curtis and Pennington Ansatz is shown to satisfy this constraint. We obtain an analytic solution of the Schwinger-Dyson equation for quenched, massless three-dimensional quantum electrodynamics for arbitrary values of the gauge parameter in the absence of dynamical chiral symmetry breaking.
Original languageEnglish
Pages (from-to)5581-5588
Number of pages8
JournalPhysical Review D
Volume47
Issue number12
DOIs
Publication statusPublished - 15 Jun 1993

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