Lifetime of quasiparticles in hot QED plasmas

Abstract

The calculation of the lifetime of quasiparticles in a QED plasma at high temperature remains plagued with infrared divergences, even after one has taken into account the screening corrections. The physical processes responsible for these divergences are the collisions involving the exchange of very soft, unscreened, magnetic photons, whose contribution is enhanced by the thermal Bose-Einstein occupation factor. The self energy diagrams which diverge in perturbation theory contain no internal fermion loops, but an arbitrary number of internal magnetostatic photon lines. By generalizing the Bloch-Nordsieck model at finite temperature, we can resum all the singular contributions of such diagrams, and obtain the correct long time behaviour of the retarded fermion propagator in the hot QED plasma: $S_R(t)\sim \exp \{-\alpha Tt\ln {\omega }_{p}t\}$, where ${\omega }_p=eT/3$ is the plasma frequency and $\alpha =e^2/4\pi$.

13 pages, LaTeX

References in corpus (5)

• On the screening of static electromagnetic fields in hot QED plasmas
• The Infrared Sensitivity of Screening and Damping in a Quark-Gluon Plasma
• On the Damping Rate of a Fast Fermion in Hot QED
• Non-perturbative aspects of screening phenomena in abelian and non abelian gauge theories
• Is \lq\lq Heavy Quark Damping Rate Puzzle'' in Hot QCD Really the Puzzle?

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