Canonical formalism of dissipative fields in thermo field dynamics

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.