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

Yuichi Mizutani; Tomohiro Inagaki; Yusuke Nakamura; Yoshiya Yamanaka

doi:10.1143/PTP.126.681

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

Yuichi Mizutani^*, Tomohiro Inagaki, Yusuke Nakamura, Yoshiya Yamanaka

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	681-701
Number of pages	21
Journal	Progress of Theoretical Physics
Volume	126
Issue number	4
DOIs	https://doi.org/10.1143/PTP.126.681
Publication status	Published - 2011 Oct

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1143/PTP.126.681

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

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