Non-perturbative Fermion Propagator for the Massless Quenched QED3

Abstract

For massless quenched QED in three dimensions, we evaluate a non-perturbative expression for the fermion propagator which agrees with its two loop perturbative expansion in the weak coupling regime. This calculation is carried out by making use of the Landau-Khalatnikov-Fradkin transformations. Any improved construction of the fermion-boson vertex must make sure that the solution of the Schwinger-Dyson equation for the fermion propagator reproduces this result. For two different gauges, we plot the fermion propagator against momentum. We then make a comparison with a similar plot, using the earlier expression for the fermion propagator, which takes into account only the one loop result.

11 pages, 3 figures, to appear in Phys. Lett. B

References in corpus (1)

• Deconstructing the vertex Ansatz in three dimensional quantum electrodynamics

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