The canonical formalism of thermally dissipative semifree fields in the time‐dependent situation is presented. The use of thermal covariant derivatives simplifies the formulation considerably. With this formalism one can unambiguously obtain the interaction Hamiltonian under any thermal situation which together with the free propagator enables perturbative calculations to be performed. The ‘‘on‐shell’’ renormalization condition in the time‐dependent case is also discussed. The model of a system with a thermal reservoir illustrates how the present formalism works in time‐dependent situations.
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We are indebted to Dr. K. Nakamura for deriving the expressions in (5.37).
16.
Note that we can preserve the g terms in (5.37), treating k as a continuous variable. Then in (5.37a), e.g., now reads as where is replaced by
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1987
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