Lifetimes of quasiparticles and collective excitations in hot QED plasmas

Blaizot, Jean-Paul; Iancu, Edmond

doi:10.1103/PhysRevD.55.973

Lifetimes of quasiparticles and collective excitations in hot QED plasmas

Jean-Paul Blaizot
(
- Saclay
)
,
Edmond Iancu
(
- Saclay
)

Jul, 1996

57 pages

Published in:

Phys.Rev.D 55 (1997) 973-996

e-Print:

hep-ph/9607303 [hep-ph]

DOI:

10.1103/PhysRevD.55.973

Report number:

SACLAY-SPH-T-96-085,
SACLAY-T96-085

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Abstract:

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

.

Note:

LaTex file, 57 pages, 11 eps figures included

12.20.Ds
52.60.+h
11.15.Bt
quantum electrodynamics: plasma
finite temperature
fermion: excited state
fermion: lifetime
perturbation theory: higher-order
infrared problem
fermion: propagator

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