Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy
TL;DR
This paper develops a theoretical framework for magnetic catalysis of chiral symmetry breaking in QED, establishing an approximation for Schwinger-Dyson equations, and solving them to find the fermion mass dynamically generated.
Contribution
It introduces a consistent truncation of Schwinger-Dyson equations for this phenomenon and provides analytical and numerical solutions.
Findings
Existence of a reliable approximation for the Schwinger-Dyson equations.
Analytical and numerical solutions for fermion dynamical mass.
Confirmation of magnetic catalysis effect in QED.
Abstract
The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent truncation of those equations in this problem. The equations are solved both analytically and numerically, and the dynamical mass of fermions is determined.
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