Abstract
We calculate a two-loop diagram at finite temperature to compare thermo-field theory (TFTh) with the conventional imaginary time formalism (ITF). The summation over the Matsubara frequency in ITF is carried out at two-loop level, and the result is shown to coincide with that of TFTh. We confirm that in ITF the temperature dependent divergences cancell out at least in the calculation of effective potential of ϕ 4 theory, as in TFTh.
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