摘要
The photon polarization tensor carries the fundamental information of magnetized vacuum or medium[1{5].A complete description of the vacuum polarization tensor is particularly complicated to approach,since the vacuum photon polarization tensor is expressed in terms of a double summation of infinite series with respect to two Landau levels occupied by virtual charged particles.Most works were focusing on the strong filed limit with an assumption of Lowest Landau Level(LLL)[2,6]In Ref.[7]we obtained a full description of vacuum polarization tensor in response to all the Landau levels at any field strength of B for the first time beyond LLL approximation,and we found out that the imaginary part of the photon polarization tensorξΠbecomes nonzero at the time like momenta region Q2>4(M2+2neB)at T=0,i.e..,the LLL approximation is analytically satisfied[3,7].
