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Polarization tensors in a strong magnetic field

arXiv:astro-ph/0102225 · doi:10.1103/PhysRevD.65.043006

Abstract

The vacuum polarization tensor in strong external magnetic fields has been evaluated numerically for various strengths of magnetic fields and momenta of photons under the threshold of the $e^{\pm}$ pair creation. The fitting formula has been obtained which reproduces the calculated results within 10 % of error. The proper time method is employed further to obtain the retarded polarization tensor for finite temperature plasmas.

16 pages, using REVTeX and 5 postscript figures