GAUGE COVARIANT FERMION PROPAGATOR IN QUENCHED, CHIRALLY SYMMETRICAL QUANTUM ELECTRODYNAMICS

Citation
Zh. Dong et al., GAUGE COVARIANT FERMION PROPAGATOR IN QUENCHED, CHIRALLY SYMMETRICAL QUANTUM ELECTRODYNAMICS, Physics letters. Section B, 333(3-4), 1994, pp. 536-544
Citations number
17
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
333
Issue
3-4
Year of publication
1994
Pages
536 - 544
Database
ISI
SICI code
0370-2693(1994)333:3-4<536:GCFPIQ>2.0.ZU;2-I
Abstract
We discuss the chirally symmetric solution of the massless, quenched, Dyson-Schwinger equation for the fermion propagator in three and four dimensions. The solutions are manifestly gauge covariant. We consider a gauge covariance constraint on the fermion-gauge-boson vertex, which motivates a vertex Ansatz that both satisfies the Ward identity when the fermion self-mass is zero and ensures gauge covariance of the ferm ion propagator.