On chiral symmetry breaking by external magnetic fields in QED$_3$
Rajesh R. Parwani
TL;DR
This paper generalizes previous findings on chiral symmetry breaking in 3D QED under constant magnetic fields to inhomogeneous fields, linking the phenomenon to Dirac zero modes and discussing radiative corrections.
Contribution
It introduces a novel approach connecting chiral symmetry breaking to Dirac zero modes in inhomogeneous magnetic fields in QED3.
Findings
Chiral symmetry breaking can be analyzed using Dirac zero modes.
Inhomogeneous magnetic fields influence chiral symmetry breaking.
Radiative corrections in QED are briefly discussed.
Abstract
A recent result of Gusynin, Miransky and Shovkovy concerning chiral symmetry breaking by a constant external magnetic field in parity-invariant three-dimensional QED is generalised to the case of inhomogeneous fields by relating the phenomenon to the zero modes of the Dirac equation. Virtual photon radiative corrections and four-dimensional QED are briefly discussed.
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