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Diagonalization of propagators in thermo field dynamics for relativistic quantum fields

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Abstract

Two-point functions for interacting quantum fields in statistical systems can be diagnolized by matrix transformations. It is shown, that within the framework of time-dependent Thermo Field Dynamics this diagonalization can be understood as a thermal Bogoliubov transformation to non-interacting statistical quasi-particles. The condition for their unperturbed propagation relates these states to the thermodynamic properties of the system: It requires global equilibrium for stationary situations, or specifies the time evolution according to a kinetic equation. (orig.).
Authors:
Henning, P A; Umezawa, H [1] 
  1. Alberta Univ., Edmonton, AB (Canada). Theoretical Physics Inst.
Publication Date:
Sep 01, 1992
Product Type:
Technical Report
Report Number:
GSI-92-61(prepr.)
Reference Number:
SCA: 662110; PA: DEN-92:015489; SN: 93000903789
Resource Relation:
Other Information: PBD: Sep 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; TEMPERATURE DEPENDENCE; RELATIVISTIC RANGE; TIME DEPENDENCE; MATRICES; PROPAGATOR; BOGOLYUBOV TRANSFORMATION; QUASI PARTICLES; THERMAL EQUILIBRIUM; KINETIC EQUATIONS; STEADY-STATE CONDITIONS; EXPECTATION VALUE; ANNIHILATION OPERATORS; CREATION OPERATORS; FIELD OPERATORS; BOSONS; COMMUTATION RELATIONS; SERIES EXPANSION; DENSITY MATRIX; DYSON REPRESENTATION; SCALAR FIELDS; SCHWINGER FUNCTIONAL EQUATIONS; ANALYTICAL SOLUTION; FERMIONS; SPIN ORIENTATION; TENSORS; SPINOR FIELDS; THERMODYNAMIC PROPERTIES; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10104257
Research Organizations:
Gesellschaft fuer Schwerionenforschung mbH, Darmstadt (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE93742800; TRN: DE9215489
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
45 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Henning, P A, and Umezawa, H. Diagonalization of propagators in thermo field dynamics for relativistic quantum fields. Germany: N. p., 1992. Web.
Henning, P A, & Umezawa, H. Diagonalization of propagators in thermo field dynamics for relativistic quantum fields. Germany.
Henning, P A, and Umezawa, H. 1992. "Diagonalization of propagators in thermo field dynamics for relativistic quantum fields." Germany.
@misc{etde_10104257,
title = {Diagonalization of propagators in thermo field dynamics for relativistic quantum fields}
 author = {Henning, P A, and Umezawa, H}
 abstractNote = {Two-point functions for interacting quantum fields in statistical systems can be diagnolized by matrix transformations. It is shown, that within the framework of time-dependent Thermo Field Dynamics this diagonalization can be understood as a thermal Bogoliubov transformation to non-interacting statistical quasi-particles. The condition for their unperturbed propagation relates these states to the thermodynamic properties of the system: It requires global equilibrium for stationary situations, or specifies the time evolution according to a kinetic equation. (orig.).}
 place = {Germany}
 year = {1992}
 month = {Sep}
 }