Classical real time correlation functions and quantum corrections at finite temperature Original Research Article

We consider quantum corrections to classical real time correlation functions at finite temperature. We derive a semi-classical expansion in powers of h with coefficients including all orders in the coupling constant. We give explicit expressions up to order h2 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.