Time-dependent canonical formalism of thermally dissipative fields and renormalization scheme

I. Hardman, H. Umezawa, Yoshiya Yamanaka

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

The canonical formalism of thermally dissipative semifree fields in the time-dependent situation is presented. The use of thermal covenant derivatives simplifies the formulation considerably. With this formalism one can unambiguously obtain the interaction Hamiltonian under any thermal situation which together with the free propagator enables perturbative calculations to be performed. The "on-shell" renormalization condition in the time-dependent case is also discussed. The model of a system with a thermal reservoir illustrates how the present formalism works in time-dependent situations.

Original languageEnglish
Pages (from-to)2925-2938
Number of pages14
JournalJournal of Mathematical Physics
Volume28
Issue number12
Publication statusPublished - 1987
Externally publishedYes

Fingerprint

Renormalization
formalism
Hamiltonians
Propagator
Shell
Simplify
Derivatives
formulations
Derivative
propagation
Formulation
Interaction
Hot Temperature
interactions
Model

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Time-dependent canonical formalism of thermally dissipative fields and renormalization scheme. / Hardman, I.; Umezawa, H.; Yamanaka, Yoshiya.

In: Journal of Mathematical Physics, Vol. 28, No. 12, 1987, p. 2925-2938.

Research output: Contribution to journalArticle

@article{5db114dfdddb497dad92295905b22130,
title = "Time-dependent canonical formalism of thermally dissipative fields and renormalization scheme",
abstract = "The canonical formalism of thermally dissipative semifree fields in the time-dependent situation is presented. The use of thermal covenant derivatives simplifies the formulation considerably. With this formalism one can unambiguously obtain the interaction Hamiltonian under any thermal situation which together with the free propagator enables perturbative calculations to be performed. The {"}on-shell{"} renormalization condition in the time-dependent case is also discussed. The model of a system with a thermal reservoir illustrates how the present formalism works in time-dependent situations.",
author = "I. Hardman and H. Umezawa and Yoshiya Yamanaka",
year = "1987",
language = "English",
volume = "28",
pages = "2925--2938",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "12",

}

TY - JOUR

T1 - Time-dependent canonical formalism of thermally dissipative fields and renormalization scheme

AU - Hardman, I.

AU - Umezawa, H.

AU - Yamanaka, Yoshiya

PY - 1987

Y1 - 1987

N2 - The canonical formalism of thermally dissipative semifree fields in the time-dependent situation is presented. The use of thermal covenant derivatives simplifies the formulation considerably. With this formalism one can unambiguously obtain the interaction Hamiltonian under any thermal situation which together with the free propagator enables perturbative calculations to be performed. The "on-shell" renormalization condition in the time-dependent case is also discussed. The model of a system with a thermal reservoir illustrates how the present formalism works in time-dependent situations.

AB - The canonical formalism of thermally dissipative semifree fields in the time-dependent situation is presented. The use of thermal covenant derivatives simplifies the formulation considerably. With this formalism one can unambiguously obtain the interaction Hamiltonian under any thermal situation which together with the free propagator enables perturbative calculations to be performed. The "on-shell" renormalization condition in the time-dependent case is also discussed. The model of a system with a thermal reservoir illustrates how the present formalism works in time-dependent situations.

UR - http://www.scopus.com/inward/record.url?scp=0011281139&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011281139&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0011281139

VL - 28

SP - 2925

EP - 2938

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 12

ER -