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

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

2001-02-28

arxiv.org/abs/hep-th/0102205v2

Phys.Lett. B510 (2001) 320-324

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex, no figures, accepted by Phys.Lett.B

Scientific paper

10.1016/S0370-2693(01)00621-9

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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