Gauge and Lorentz Covariant Schwinger-Dyson Equation for Fermion Propagator in Arbitrary External Gauge Field
Xiang Chen, Ying Zhang, Fa-Min Chen, Qing Wang
TL;DR
This paper develops a gauge and Lorentz covariant Schwinger-Dyson equation for fermion propagators in arbitrary external gauge fields, exploring solutions that break chiral symmetry within the ladder approximation.
Contribution
It introduces a formalism for covariant Schwinger-Dyson equations in external fields and investigates chiral symmetry breaking solutions.
Findings
Different external field-dependent solutions identified
Spontaneous chiral symmetry breaking observed
Formalism applicable to various gauge field configurations
Abstract
A formalism of gauge and Lorentz covariant Schwinger-Dyson equation is built up for fermion propagator in presence of arbitrary external gauge field within ladder approximation. Different type external electromagnetic field dependent trial solutions are investigated which spontaneously breaking chiral symmetry.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Algebraic and Geometric Analysis · Quantum Mechanics and Applications