A condition on the chiral symmetry breaking solution of the Dyson-Schwinger equation in three-dimensional QED
Abstract
In three-dimensional QED, which is analyzed in the 1/N expansion, we obtain a sufficient and necessary condition for a nontrivial solution of the Dyson-Schwinger equation to be chiral symmetry breaking solution. In the derivation, a normalization condition of the Goldstone bound state is used. It is showed that the existent analytical solutions satisfy this condition.
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