Finiteness of Hot Classical Scalar Field Theory and the Plasmon Damping Rate

Details Finiteness of Hot Classical Scalar Field Theory and the Plasmon Damping Rate Finiteness of Hot Classical Scalar Field Theory and the Plasmon Damping Rate

1996-10-18

arxiv.org/abs/hep-ph/9610415v2

Phys.Lett. B393 (1997) 395-402

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 4 eps figures, minor typographic corrections and two references added

Scientific paper

10.1016/S0370-2693(96)01624-3

We investigate the renormalizability of the classical $\phi^4$ theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical static theory. As an application the classical plasmon damping rate is found to be $\gamma = \lambda^2 T^2/1536 \pi m$. When we use the high temperature expression for $m$ given by dimensional reduction, the rate is found to agree with the quantum mechanical result.

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