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

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

Publishing date

2009-10-10

URL

arxiv.org/abs/0910.1886v1

Journals

J.Phys.G37:015001,2010

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Phenomenology

Additional info

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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