Canonical quantization for a relativistic neutral scalar field in non-equilibrium thermo field dynamics

Yuichi Mizutani, Tomohiro Inagaki, Yusuke Nakamura, Yoshiya Yamanaka

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    A relativistic neutral scalar field is investigated in non-equilibrium thermo field dynamics. The canonical quantization is applied to the fields out of equilibrium. Because the thermal Bogoliubov transformation becomes time-dependent, the equations of motion for the ordinary unperturbed creation and annihilation operators are modified. This forces us to introduce a thermal counter term in the interaction Hamiltonian which generates additional radiative corrections. Imposing the self-consistency renormalization condition on the total radiative corrections, we obtain the quantum Boltzmann equation for the relativistic scalar field.

    Original languageEnglish
    Pages (from-to)681-701
    Number of pages21
    JournalProgress of Theoretical Physics
    Volume126
    Issue number4
    DOIs
    Publication statusPublished - 2011 Oct

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    scalars
    equations of motion
    counters
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    interactions

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Canonical quantization for a relativistic neutral scalar field in non-equilibrium thermo field dynamics. / Mizutani, Yuichi; Inagaki, Tomohiro; Nakamura, Yusuke; Yamanaka, Yoshiya.

    In: Progress of Theoretical Physics, Vol. 126, No. 4, 10.2011, p. 681-701.

    Research output: Contribution to journalArticle

    Mizutani, Yuichi ; Inagaki, Tomohiro ; Nakamura, Yusuke ; Yamanaka, Yoshiya. / Canonical quantization for a relativistic neutral scalar field in non-equilibrium thermo field dynamics. In: Progress of Theoretical Physics. 2011 ; Vol. 126, No. 4. pp. 681-701.
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