Condition on the symmetry-breaking solution of the Schwinger-Dyson equation
G.Cheng, T.K.Kuo
TL;DR
This paper establishes a condition linking symmetry-breaking solutions of the Schwinger-Dyson equation to Goldstone states, revealing that in quenched planar QED, chiral symmetry breaking occurs with a cutoff but the continuum limit does not exist.
Contribution
It introduces a new condition for solutions of the Schwinger-Dyson equation to be associated with Goldstone bound states, highlighting limitations in quenched planar QED.
Findings
Chiral symmetry breaking occurs with a cutoff in quenched planar QED.
The continuum limit fails to exist despite symmetry breaking.
A derived condition links solutions to Goldstone states.
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.
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