From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems

Y. Kuwahara, Y. Nakamura, Yoshiya Yamanaka

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    The 2×2-matrix structure of Green's functions is a common feature for the real-time formalisms of quantum field theory under thermal situations, such as the closed time path formalism and Thermo Field Dynamics (TFD). It has been believed to originate from quantum nature. Recently, Galley has proposed the Hamilton's principle with initial data for nonconservative classical systems, doubling each degree of freedom [1]. We show that the Galley's Hamilton formalism can be extended to quantum field and that the resulting theory is naturally identical with nonequilibrium TFD.

    Original languageEnglish
    Pages (from-to)3102-3105
    Number of pages4
    JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
    Volume377
    Issue number43
    DOIs
    Publication statusPublished - 2013 Dec 9

    Fingerprint

    classical mechanics
    degrees of freedom
    formalism
    Green's functions
    matrices

    Keywords

    • Canonical quantization
    • Nonconservative system
    • Nonequilibrium
    • Quantum field theory
    • Reservoir model
    • Thermo Field Dynamics

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems. / Kuwahara, Y.; Nakamura, Y.; Yamanaka, Yoshiya.

    In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 377, No. 43, 09.12.2013, p. 3102-3105.

    Research output: Contribution to journalArticle

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