Photon polarization tensor in a magnetized plasma: Absorptive part

We calculate the absorptive part of photon polarization tensor in a hot magnetized relativistic plasma. In derivation, we utilize Landau-level representation for fermion Green's function mixed coordinate-momentum space and obtain closed-form expression one-loop tensor. At leading order coupling, its is determined by particle antiparticle splitting processes ($e^{-} \leftrightarrow e^{-}+\gamma$ $e^{+} e^{+}+\gamma $, respectively), as well particle-antiparticle annihilation + e^{+}\leftrightarrow \gamma$). The interpretation terms quantum transitions between Landau levels also given. By making use tensor, study differential emission rate limit low energies, has prolate profile with symmetry axis along line magnetic field. high on other hand, an oblate profile. underlying reasons such profiles are given both regimes. general result used to longitudinal transverse components magneto-optical conductivity.