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Kinetic equations within the formalism of non-equilibrium thermo field dynamics

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  • Arimitsu, Toshihico

Abstract

After reviewing the real-time formalism of dissipative quantum field theory, i.e. non-equilibrium thermo field dynamics (NETFD), a kinetic equation, a self-consistent equation for the dissipation coefficient and a “mass” or “chemical potential” renormalization equation for non-equilibrium transient situations are extracted out of the two-point Green's function of the Heisenberg field, in their most general forms upon the basic requirements of NETFD. The formulation is applied to the electron-phonon system, as an example, where the gradient expansion and the quasi-particle approximation are performed. The formalism of NETFD is reinvestigated in connection with the kinetic equations.

Suggested Citation

  • Arimitsu, Toshihico, 1988. "Kinetic equations within the formalism of non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 427-455.
    • Handle: RePEc:eee:phsmap:v:148:y:1988:i:3:p:427-455
    DOI: 10.1016/0378-4371(88)90082-9
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    References listed on IDEAS

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    1. Arimitsu, T. & Pradko, J. & Umezawa, H., 1986. "Generating functional methods in non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 487-504.
    2. Arimitsu, T. & Guida, M. & Umezawa, H., 1988. "Dissipative quantum field theory -thermo field dynamics-," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 1-26.
    3. Arimitsu, T. & Umezawa, H. & Yamanaka, Y. & Papastamatiou, N.J., 1988. "Spontaneous creation of dissipation in thermo field dynamics and its examples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 27-45.
    4. Arimitsu, T. & Sudo, Y. & Umezawa, H., 1987. "Dynamical rearrangement of the thermal vacuum in thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 146(3), pages 433-451.
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