Gauge independent Chiral Symmetry Breaking in Quenched QED

Abstract

In quenched QED we construct a non-perturbative fermion-boson vertex that ensures the fermion propagator satisfies the Ward-Takahashi identity, is multiplicatively renormalizable, agrees with perturbation theory for weak couplings and has a critical coupling for dynamical mass generation that is strictly gauge independent. This is in marked contrast to the rainbow approximation in which the critical coupling changes by 50% just between the Landau and Feynman gauges. The use of such a vertex should lead to a more believable study of mass generation.

22 pages, DTP-94/48

References in corpus (3)

• Gauge covariance and the fermion-photon vertex in three- and four- dimensional, massless quantum electrodynamics
• Gauge covariant fermion propagator in quenched, chirally-symmetric quantum electrodynamics
• Chiral Symmetry Breaking with the Curtis-Pennington Vertex

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