Gauge independent Chiral Symmetry Breaking in Quenched QED

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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22 pages, DTP-94/48

Scientific paper

10.1103/PhysRevD.50.7679

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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