arXiv · hep-ph/9407350
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.
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A. Bashir, M. R. Pennington. 1994-09-20. Gauge independent Chiral Symmetry Breaking in Quenched QED. https://doi.org/10.1103/physrevd.50.7679
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