The Classical Approximation for Real-Time Scalar Field Theory at Finite Temperature

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The use of classical thermal field to approximate real-time quantum thermal field theory is discussed. For a λϕ^4 theory, it is shown that the classical Rayleigh-Jeans divergence can be canceled with the appropriate counterterms, and a comparison is made between the classical and quantum perturbative expansion. It is explained why Hard Thermal Loops prevent the same method to work for gauge theories.
5 pages, 2 eps figures, talk presented at the 5th International Workshop on Thermal Field Theories and Their Applications, Regensburg, Germany, August 10-14, 1998

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