Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-01-03
Phys.Rev.Lett. 76 (1996) 3080-3083
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, LaTeX
Scientific paper
10.1103/PhysRevLett.76.3080
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: $S_R(t)\sim \exp\{-\alpha T \, t\, \ln\omega_pt\}$, where $\omega_p=eT/3$ is the plasma frequency and $\alpha=e^2/4\pi$.
Blaizot Jean Paul
Iancu Edmond
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