Real Time Correlation Functions at Finite Temperature and their Classical Limit

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In order to investigate the reliability of the classical approximation for non-perturbative real time correlation functions at finite temperature we study the two-point correlator for the anharmonic oscillator. For moderately large times the classical limit gives a good approximation of the quantum result but after some time $t_*$ the classical approximation breaks down even at high temperature.
6 pages, Talk given at the E"otv"os Conference in Science: Strong and Electroweak Matter, Eger, Hungary, 21-25 May 1997

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