Classical Real Time Correlation Functions And Quantum Corrections at Finite Temperature

Abstract

We consider quantum corrections to classical real time correlation functions at finite temperature. We derive a semi-classical expansion in powers of $\hslash$ with coefficients including all orders in the coupling constant. We give explicit expressions up to order ${\hslash }^2$. We restrict ourselves to a scalar theory. This method, if extended to gauge theories, might be used to compute quantum corrections to the high temperature baryon number violation rate in the Standard Model.

21 pages (revtex)

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