Classical Statistical Mechanics and Landau Damping

Abstract

We study the retarded response function in scalar ${\varphi }^4$-theory at finite temperature. We find that in the high-temperature limit the imaginary part of the self-energy is given by the classical theory to leading order in the coupling. In particular the plasmon damping rate is a purely classical effect to leading order, as shown by Aarts and Smit. The dominant contribution to Landau damping is given by the propagation of classical fields in a heat bath of non-interacting fields.

9 pages, 3 eps figures, LaTeX

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