From superoperator formalism to nonequilibrium Thermo Field Dynamics

Y. Nakamura, Yoshiya Yamanaka

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Emphasizing that the specification of the representation space or the quasiparticle picture is essential in nonequilibrium quantum field system, we have constructed the unique unperturbed representation of the interaction picture in the superoperator formalism. To achieve it, we put the three basic requirements (the existence of the quasiparticle picture at each instant of time, the macroscopic causality and the relaxation to equilibrium). From the resultant representation follows the formulation of nonequilibrium Thermo Field Dynamics (TFD). The two parameters, the number distribution and excitation energy, characterizing the representation, are to be determined by the renormalization condition. While we point out that the diagonalization condition by Chu and Umezawa is inconsistent with the equilibrium theory, we propose a new renormalization condition as a generalization of the on-shell renormalization on the self-energy which derives the quantum transport equation and determines the renormalized excitation energy.

    Original languageEnglish
    Pages (from-to)51-69
    Number of pages19
    JournalAnnals of Physics
    Volume331
    DOIs
    Publication statusPublished - 2013 Apr

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    Keywords

    • Kinetic equation
    • Nonequilibrium
    • Superoperator formalism
    • Thermal field theory
    • Thermo Field Dynamics
    • Transport equation

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    From superoperator formalism to nonequilibrium Thermo Field Dynamics. / Nakamura, Y.; Yamanaka, Yoshiya.

    In: Annals of Physics, Vol. 331, 04.2013, p. 51-69.

    Research output: Contribution to journalArticle

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