Gauge independence and chiral symmetry breaking in a strong magnetic field

Journal Article · Thu Mar 15 04:00:00 EDT 2007 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.03.006· OSTI ID:20976740

Leung, C N ^[1]; Wang, S -Y ^[2]

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1. Department of Physics and Astronomy, University of Delaware, Newark, DE 19716 (United States)
2. Department of Physics and Astronomy, University of Delaware, Newark, DE 19716 (United States) and Department of Physics, Tamkang University, Tamsui, Taipei 25137, Taiwan (China)

The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We present a (first, to the best of our knowledge) consistent truncation of the Schwinger-Dyson equations in the lowest Landau level approximation. We demonstrate that the dynamical fermion mass, obtained as the solution of the truncated Schwinger-Dyson equations evaluated on the fermion mass shell, is manifestly gauge independent.

• OSTI ID: 20976740
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 3 Vol. 322; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CHIRAL SYMMETRY
DYSON REPRESENTATION
FERMIONS
GAUGE INVARIANCE
MAGNETIC FIELDS
MASS
MATHEMATICAL SOLUTIONS
QUANTUM ELECTRODYNAMICS
SCHWINGER FUNCTIONAL EQUATIONS
SYMMETRY BREAKING