Canonical formalism of dissipative fields in thermo field dynamics

T. Arimitsu; H. Umezawa; Y. Yamanaka

doi:10.1063/1.527722

Canonical formalism of dissipative fields in thermo field dynamics

T. Arimitsu^*, H. Umezawa, Y. Yamanaka

^*Corresponding author for this work

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

32 Citations (Scopus)

Abstract

For the stationary case the canonical formalism of thermally dissipative fields with both positive- and negative-frequency parts is constructed. This formulation enables one to follow the self-consistent renormalization scheme which creates the dissipation spontaneously. The self-interacting φ³ model is examined as an example of the spontaneous creation of dissipation. The parameter α appearing in the thermal state conditions as well as observables independent of the choice of α are discussed.

Original language	English
Pages (from-to)	2741-2752
Number of pages	12
Journal	Journal of Mathematical Physics
Volume	28
Issue number	11
DOIs	https://doi.org/10.1063/1.527722
Publication status	Published - 1987
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "For the stationary case the canonical formalism of thermally dissipative fields with both positive- and negative-frequency parts is constructed. This formulation enables one to follow the self-consistent renormalization scheme which creates the dissipation spontaneously. The self-interacting φ3 model is examined as an example of the spontaneous creation of dissipation. The parameter α appearing in the thermal state conditions as well as observables independent of the choice of α are discussed.",

author = "T. Arimitsu and H. Umezawa and Y. Yamanaka",

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AU - Umezawa, H.

AU - Yamanaka, Y.

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AB - For the stationary case the canonical formalism of thermally dissipative fields with both positive- and negative-frequency parts is constructed. This formulation enables one to follow the self-consistent renormalization scheme which creates the dissipation spontaneously. The self-interacting φ3 model is examined as an example of the spontaneous creation of dissipation. The parameter α appearing in the thermal state conditions as well as observables independent of the choice of α are discussed.

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DO - 10.1063/1.527722

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Canonical formalism of dissipative fields in thermo field dynamics

Abstract

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