Canonical formalism of dissipative fields in thermo field dynamics

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


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 languageEnglish
Pages (from-to)2741-2752
Number of pages12
JournalJournal of Mathematical Physics
Issue number11
Publication statusPublished - 1987
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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