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A condition on the chiral symmetry breaking solution of the Dyson-Schwinger equation in three-dimensional QED

Guo-Zhu Liu·G. Cheng
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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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Guo-Zhu Liu, G. Cheng. 2001-05-21. A condition on the chiral symmetry breaking solution of the Dyson-Schwinger equation in three-dimensional QED. https://doi.org/10.1016/s0370-2693(01)00621-9

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