Perturbative Quantum Field Theory at Positive Temperatures: An Axiomatic Approach

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17pages LateX

Scientific paper

10.1007/BF02108335

It is shown that the perturbative expansions of the correlation functions of a relativistic quantum field theory at finite temperature are uniquely determined by the equations of motion and standard axiomatic requirements, including the KMS condition. An explicit expression as a sum over generalized Feynman graphs is derived. The canonical formalism is not used, and the derivation proceeds from the beginning in the thermodynamic limit. No doubling of fields is invoked. An unsolved problem concerning existence of these perturbative expressions is pointed out.

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