The Polarization of a QED Plasma in a Strong Magnetic Field

Details The Polarization of a QED Plasma in a Strong Magnetic Field The Polarization of a QED Plasma in a Strong Magnetic Field

1995-03-29

arxiv.org/abs/hep-ph/9503459v3

Phys.Rev. D52 (1995) 2533-2542

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 20 pages, two figures included. Figs. postcript files are tarred, compressed and uuencoded. Accepted for publication on

Scientific paper

10.1103/PhysRevD.52.2533

In this paper we study the polarization tensor of photons in a QED plasma in the presence of a magnetic field. We do it both at vanishing and at finite temperature. We use two different methods to compute the polarization tensor components $\Pi^{\mu\nu}$ within the one-loop approximation. The first starts from the effective Lagrangian of the system and relates $\Pi^{\mu\nu}$ to the thermodynamic quantities. The second makes use of the electron propagator in an external magnetic field. In this second approach we use an imaginary time formalism. These methods give consistent results in the first non-vanishing order in the photon 4-momentum. Beyond this limit the first method is not applicable and the introduction of the second can not be avoided. We give some physical interpretations of our results.

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