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arXiv · 0910.1886

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

Alejandro Ayala·Adnan Bashir·Alfredo Raya·Angel Sanchez
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Abstract

Employing the Schwinger's proper-time method, we calculate the $<\barψ ψ>$-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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Alejandro Ayala, Adnan Bashir, Alfredo Raya, Angel Sanchez. 2009-10-10. Impact of a uniform magnetic field and nonzero temperature on explicit chiral symmetry breaking in QED: Arbitrary hierarchy of energy scales. https://doi.org/10.1088/0954-3899%2F37%2F1%2F015001

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