Tuesday, April 16, 2013

1304.3655 (Ken-Ichi Ishikawa et al.)

A numerical evaluation of vacuum polarization tensor in external
constant magnetic fields
   [PDF]

Ken-Ichi Ishikawa, Daiji Kimura, Kenta Shigaki, Asako Tsuji
Recently Hattori-Itakura have derived the full Landau-level summation form for the photon vacuum polarization tensor in external constant magnetic fields at one-loop level. The tensor has three different form factors depending on the tensor direction against the external magnetic field. The renormalization is not trivial because these form factors are expressed in terms of double or triple series summation forms. We give a numerical UV subtraction method which can be applied to numerically evaluate the form factors in external constant magnetic fields. We numerically investigate the photon vacuum polarization tensor in the form of the Landau-level summation and estimate the systematic errors coming from the truncation of the Landau-level summation. We find that the error is practically controllable at $O(10^{-2})$ level for electrons and muons in strong magnetic fields expected in heavy ion collision experiments with experimentally feasible kinematic parameter regions.
View original: http://arxiv.org/abs/1304.3655

No comments:

Post a Comment