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18 October 2001 Physics Letters B 518 (2001) 315322

Summary: 18 October 2001
Physics Letters B 518 (2001) 315­322
Spectral function at high temperature in the
classical approximation
Gert Aarts
Institut für theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
Received 16 August 2001; received in revised form 29 August 2001; accepted 31 August 2001
Editor: P.V. Landshoff
At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real
time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of finite-
temperature spectral functions, employing the classical KMS condition in real time. The method is illustrated for the one-particle
spectral function in a scalar field theory in 2 + 1 dimensions. The result is compared with resummed two-loop perturbation
theory and both the plasmon mass and width are found to agree with the analytical prediction. 2001 Published by Elsevier
Science B.V.
PACS: 11.10.Wx; 11.15.Kc
1. Introduction
Finite-temperature field theory has received consid-
erable attention during recent years (see [1] for a com-


Source: Aarts, Gert - Department of Physics, University of Wales Swansea


Collections: Physics