Derivation of Transport Equation Using the Time-Dependent Projection Operator Method

  • Koide Tomoi
    Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

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  • Derivation of Transport Equations Using the Time-Dependent Projection Operator Method.

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We develop a formalism to carry out coarse-grainings in quantum field theoretical systems by using a time-dependent projection operator in the Heisenberg picture. A systematic perturbative expansion with respect to the interaction part of the Hamiltonian is given, and a Langevin-type equation without a time-convolution integral term is obtained. This method is applied to a quantum field theoretical model, and coupled transport equations are derived.

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