%0 Journal Article %T Real Time Correlation Functions at Finite Temperature and their Classical Limit %A D. B"odeker %J Physics %D 1997 %I arXiv %X 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. %U http://arxiv.org/abs/hep-ph/9708360v1