A simple criterion for effects beyond hard thermal loops

Details A simple criterion for effects beyond hard thermal loops A simple criterion for effects beyond hard thermal loops

2000-07-10

arxiv.org/abs/hep-ph/0007087v2

Phys.Lett. B493 (2000) 182-188

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages LaTeX document, 3 postscript figures. two references added, connection with the kinetic approach expanded, final versi

Scientific paper

10.1016/S0370-2693(00)01130-8

Thermal amplitudes with ultrasoft momenta, which are not accessible by standard methods of perturbation theory, have recently attracted a lot of interest. However, the comparison of external momenta with the ultrasoft scale $g^2T\ln(1/g)$ is a too crude criterion, since amplitudes with hard external momenta can also be non perturbative, if these momenta are close enough to the light-cone. In this letter, I give a more refined criterion to decide if an amplitude is non perturbative, that applies to all situations. In physical terms, this condition states that non-perturbative effects appear if the particles running in loops have to travel distances larger than their mean free path.

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