Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-07-12
Phys.Rev. D55 (1997) 973-996
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTex file, 57 pages, 11 eps figures included
Scientific paper
10.1103/PhysRevD.55.973
The perturbative calculation of the lifetime of fermion excitations in a QED plasma at high temperature is plagued with infrared divergences which are not eliminated by the screening corrections. The physical processes responsible for these divergences are the collisions involving the exchange of longwavelength, quasistatic, magnetic photons, which are not screened by plasma effects. The leading divergences can be resummed in a non-perturbative treatement based on a generalization of the Bloch-Nordsieck model at finite temperature. The resulting expression of the fermion propagator is free of infrared problems, and exhibits a {\it non-exponential} damping at large times: $S_R(t)\sim \exp\{-\alpha T t \ln\omega_pt\}$, where $\omega_p=eT/3$ is the plasma frequency and $\alpha=e^2/4\pi$.
Blaizot Jean Paul
Iancu Edmond
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