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arxiv: hep-th/0102205 · v2 · submitted 2001-02-28 · ✦ hep-th

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

classification ✦ hep-th
keywords conditionsolutionbreakingchiraldyson-schwingerequationsymmetrythree-dimensional
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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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