Condition on the symmetry-breaking solution of the Schwinger-Dyson equation

Abstract

We derive a condition for a nontrivial solution of the Schwinger-Dyson equation to be accompanied by a Goldstone bound state. It implies that, for quenched planar QED, although chiral symmetry breaking occurs when there is a cutoff, the continuum limit fails to exist.

12 pages, LaTex, no figure

Cited by in corpus (5)

• Effect of gauge boson mass on chiral symmetry breaking in QED${}_3$
• Existence and stability of multiple solutions to the gap equation
• Chiral symmetry breaking and violation of the Wiedemann-Franz law in underdoped cuprates
• A condition on the chiral symmetry breaking solution of the Dyson-Schwinger equation in three-dimensional QED
• Advance in dynamical spontaneous symmetry breaking