Screening of mass singularities and finite soft-photon production rate in hot QCD

Abstract

The production rate of a soft photon from a hot quark-gluon plasma is computed to leading order at logarithmic accuracy. The canonical hard-thermal-loop resummation scheme leads to logarithmically divergent production rate due to mass singularities. We show that these mass singularities are screened by employing the effective hard-quark propagator, which is obtained through resummation of one-loop self-energy part in a self-consistent manner. The damping-rate part of the effective hard-quark propagator, rather than the thermal-mass part, plays the dominant role of screening mass singularities. Diagrams including photon--(hard-)quark vertex corrections also yield leading contribution to the production rate.

41pages, Figures are not included

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• Two-loop Compton and annihilation processes in thermal QCD
• Nonlinear Landau damping of a plasmino in the quark-gluon plasma
• A simple criterion for effects beyond hard thermal loops
• Hot QED beyond ladder graphs
• Gluon plasmon frequency near the light-cone