Dynamical Chiral Symmetry Breaking in QED in a Magnetic Field: Toward Exact Results
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy

TL;DR
This paper presents an exactly solvable example of dynamical chiral symmetry breaking in 3+1 dimensional QED under a constant magnetic field, providing insights into non-perturbative phenomena in gauge theories.
Contribution
It introduces the first essentially soluble model of dynamical symmetry breaking in QED with a magnetic field, advancing understanding of non-perturbative effects.
Findings
Demonstrates exact solvability of the model
Shows dynamical chiral symmetry breaking occurs in this setting
Provides a new framework for studying non-perturbative gauge phenomena
Abstract
We describe a (first, to the best of our knowledge) essentially soluble example of dynamical symmetry breaking phenomenon in a 3+1 dimensional gauge theory without fundamental scalar fields: QED in a constant magnetic field.
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