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.

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

References in corpus (2)

• Theory of spin excitations in undoped and underdoped cuprates
• Condition on the symmetry-breaking solution of the Schwinger-Dyson equation

Cited by in corpus (2)

• Effect of gauge boson mass on chiral symmetry breaking in QED${}_3$
• Chiral symmetry breaking and violation of the Wiedemann-Franz law in underdoped cuprates