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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

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Abstract:

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.

Document Type: Research Article

DOI: http://dx.doi.org/10.1088/0954-3899/37/1/015001

Publication date: January 1, 2010

iop/jphysg/2010/00000037/00000001/art015001
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