Gauge covariance and the fermion-photon vertex in three- and four-dimensional, massless quantum electrodynamics
Year: 1993
Type: article
Abstract: In the quenched approximation, the gauge covariance properties of three vertex Ansa$iuml---tze 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.
Authors: Conrad J. Burden, Craig D. Roberts
Institutions: Australian National University, Argonne National Laboratory
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2024111142