%0 Journal Article %T Polarization tensors in a strong magnetic field %A K. Kohri %A Shoichi Yamada %J Physics %D 2001 %I arXiv %R 10.1103/PhysRevD.65.043006 %X 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. %U http://arxiv.org/abs/astro-ph/0102225v1