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Light-cone regular vertex in three-dimensional quenched QED

1991; American Physical Society; Volume: 44; Issue: 2 Linguagem: Inglês

10.1103/physrevd.44.540

1538-4500

Conrad J. Burden, Craig D. Roberts,

Particle physics theoretical and experimental studies

We study a model Schwinger-Dyson equation in three dimensions based on three-dimensional QED in the confining quenched approximation. We employ an ansatz for the dressed photon-fermion vertex function that does not have a singularity on the light cone. Our ansatz also allows us to study the relationship between the transverse part of the vertex and gauge independence of $〈\overline{\ensuremath{\psi}}\ensuremath{\psi}〉$. We find that the transverse part of the vertex is crucial to obtaining $〈\overline{\ensuremath{\psi}}\ensuremath{\psi}〉$ independent of the gauge parameter. It modifies both the infrared and ultraviolet behavior of the fermion propagator without upsetting the $\frac{1}{{p}^{2}}$ behavior expected of the mass function at large spacelike ${p}^{2}$.