Abstract
We consider weakly magnetized hot QED plasma comprising electrons and positrons. There are three distinct dispersive (longitudinal and two transverse) modes of a photon in a thermo-magnetic medium. At lowest order in coupling constant, photon is damped in this medium via Compton scattering and pair creation process. We evaluate the damping rate of hard photon by calculating the imaginary part of the each transverse dispersive modes in a thermo-magnetic QED medium. We note that one of the fermions in the loop of one-loop photon self-energy is considered as soft and the other one is hard. Considering the resummed fermion propagator in a weakly magnetized medium for the soft fermion and the Schwinger propagator for hard fermion, we calculate the soft contribution to the damping rate of hard photon. In weak field approximation the thermal and thermo-magnetic contributions to damping rate get separated out for each transverse dispersive mode. The total damping rate for each dispersive mode in presence of magnetic field is found to be reduced than that of the thermal one. This formalism can easily be extended to QCD plasma.
Highlights
Astrophysical plasma is almost always immersed in magnetic field
In this article we intend to compute the soft contribution to the hard photon damping rate for a weakly magnetized hot medium in one loop approximation of photon self-energy
We have calculated the soft contribution to the damping rate of a hard photon in a weakly magnetized QED medium where momentum of one of the fermion in the loop is considered as soft
Summary
Astrophysical plasma is almost always immersed in magnetic field. Extreme, magnetized plasma is found in interiors of neutron star, magnetospheres of magnetars and central engines of supernovae and gamma ray bursts [1]. The hard contribution refers to the case where all the fermions in loop have momentum order of or much greater than the system temperature T Both soft and hard contributions to the damping rate of hard photon in thermal medium have been calculated in Ref. In this article we intend to compute the soft contribution to the hard photon damping rate for a weakly magnetized hot medium in one loop approximation of photon self-energy. Extension to the case of damping rate of hard photon in weakly magnetized hot QCD medium is straightforward. The medium induced longitudinal (plasmon) mode does not contribute to the damping rate and the dispersion relations for two transverse modes of a photon are given, respectively, as. We need to obtain the imaginary parts of 11, 22, 33, and 13 components of the photon self-energy Πμν which are computed
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