Impact of a uniform magnetic field and nonzero temperature on explicit chiral symmetry breaking in QED: Arbitrary hierarchy of energy scales

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, 6 figures, accepted in J. Phys. G

Type

Scientific paper

Digital Object Identifier

10.1088/0954-3899/37/1/015001

Abstract

Employing the Schwinger's proper-time method, we calculate the $<\bar{\psi} \psi>$-condensate for massive Dirac fermions of charge $e$ interacting with a uniform magnetic field in a heat bath. We present general results for arbitrary hierarchy of the energy scales involved, namely, the fermion mass $m$, the magnetic field strength $\sqrt{eB}$ and temperature $T$. Moreover, we study particular regimes in detail and reproduce some of the results calculated or anticipated earlier in the literature. We also discuss possible applications of our findings.

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