Bloch-Nordsieck Thermometers: One-loop Exponentiation in Finite Temperature QED

Details Bloch-Nordsieck Thermometers: One-loop Exponentiation in Finite Temperature QED Bloch-Nordsieck Thermometers: One-loop Exponentiation in Finite Temperature QED

1995-07-19

arxiv.org/abs/hep-ph/9507341v1

Nucl.Phys. B458 (1996) 189-214

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX file, 29 pages including 3 figures

Scientific paper

10.1016/0550-3213(95)00558-7

We study the scattering of hard external particles in a heat bath in a real-time formalism for finite temperature QED. We investigate the distribution of the 4-momentum difference of initial and final hard particles in a fully covariant manner when the scale of the process, $Q$, is much larger than the temperature, $T$. Our computations are valid for all $T$ subject to this constraint. We exponentiate the leading infra-red term at one-loop order through a resummation of soft (thermal) photon emissions and absorptions. For $T>0$, we find that tensor structures arise which are not present at $T=0$. These carry thermal signatures. As a result, external particles can serve as thermometers introduced into the heat bath. We investigate the phase space origin of $\log(Q/m)$ and $\log(Q/T)$ terms.

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