Canonical formalism of dissipative fields in thermo field dynamics
Author(s) -
Toshihico Arimitsu,
H. Umezawa,
Y. Yamanaka
Publication year - 1987
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.527722
Subject(s) - dissipative system , dissipation , formalism (music) , observable , renormalization , physics , classical mechanics , statistical physics , quantum mechanics , art , musical , visual arts
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 [cursive phi]3 model is examined as an example of the spontaneous creation of dissipation. The parameter alpha appearing in the thermal state conditions as well as observables independent of the choice of alpha are discussed
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