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Impact of a uniform magnetic field and non-zero temperature on explicit chiral symmetry breaking in QED: arbitrary hierarchy of energy scales

A Ayala1,2,3, A Bashir1, A Raya1 and A Sánchez1

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Employing Schwinger's proper-time method, we calculate the \langle \skew3\bar{\psi } \psi \rangle-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.


PACS

11.30.Rd Chiral symmetries

12.20.Ds Specific calculations

11.30.Qc Spontaneous and radiative symmetry breaking

Subjects

Particle physics and field theory

Dates

Issue 1 (January 2010)

Received 6 August 2009

Published 23 November 2009



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