Real-Time Thermal Propagators and the QED Effective Action for an External Magnetic Field

Details Real-Time Thermal Propagators and the QED Effective Action for an External Magnetic Field Real-Time Thermal Propagators and the QED Effective Action for an External Magnetic Field

1993-12-06

arxiv.org/abs/hep-ph/9312226v2

Astropart.Phys.2:299-326,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, Latex + epsf.tex (ps-file appended at the end), NORDITA-93/78P, Goteborg ITP 93-11, (some mishaps with table enumera

Scientific paper

10.1016/0927-6505(94)90008-6

The thermal averaged real-time propagator of a Dirac fermion in a static uniform magnetic field $B$ is derived. At non-zero chemical potential and temperature we find explicitly the effective action for the magnetic field, which is shown to be closely related to the Helmholz free energy of a relativistic fermion gas, and it exhibits the expected de\ Haas -- van\ Alphen oscillations. An effective QED coupling constant at finite temperature and density is derived, and compared with renormalization group results. We discuss some astrophysical implications of our results.

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