On Renormalized Strong-Coupling Quenched QED in Four Dimensions

Details On Renormalized Strong-Coupling Quenched QED in Four Dimensions On Renormalized Strong-Coupling Quenched QED in Four Dimensions

1996-08-09

arxiv.org/abs/hep-ph/9608292v1

Phys.Rev.D55:3866-3872,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

REVTEX 3.0, 15 pages,including 4 eps files comprising 3 figures. Submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.55.3866

We study renormalized quenched strong-coupling QED in four dimensions in arbitrary covariant gauge. Above the critical coupling leading to dynamical chiral symmetry breaking, we show that there is no finite chiral limit. This behaviour is found to be independent of the detailed choice of photon-fermion proper vertex in the Dyson-Schwinger equation formalism, provided that the vertex is consistent with the Ward-Takahashi identity and multiplicative renormalizability. We show that the finite solutions previously reported lie in an unphysical regime of the theory with multiple solutions and ultraviolet oscillations in the mass functions. This study supports the assertion that in four dimensions strong coupling QED does not have a continuum limit in the conventional sense.

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