A condition on the chiral symmetry breaking solution of the Dyson-Schwinger equation in three-dimensional QED
arXiv:hep-th/0102205 · doi:10.1016/S0370-2693(01)00621-9
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.
11 pages, Latex, no figures, accepted by Phys.Lett.B