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Condition on the symmetry-breaking solution of the Schwinger-Dyson equation

arXiv:hep-th/0102206 · doi:10.1063/1.532205

Abstract

We derive a condition for a nontrivial solution of the Schwinger-Dyson equation to be accompanied by a Goldstone bound state. It implies that, for quenched planar QED, although chiral symmetry breaking occurs when there is a cutoff, the continuum limit fails to exist.

12 pages, LaTex, no figure