Tilde substitution law in thermo field dynamics: Thermal state conditions

Journal Article · Mon Jan 14 23:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.429· OSTI ID:5986256

Matsumoto, H; Nakano, Y; Umezawa, H

The tilde substitution law (which will be called in this paper the thermal state condition) plays an important role in determining the temperature-dependent ground state in thermo field dynamics (a real-time operator formalism of quantum field theory at finite temperature). Rules which define the phase conventions for the tilde substitution for any arbitrary Heisenberg operator are derived. These rules also lead to a clear correspondence between the perturbation series obtained in thermo field dynamics and the path-ordered formalism of the statistical average.

• Research Organization: Theoretical Physics Institute, Department of Physics, The University of Alberta, Edmonton, Alberta T6G2J1, Canada
• OSTI ID: 5986256
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOLTZMANN EQUATION
DIAGRAMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FEYNMAN DIAGRAM
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUANTUM FIELD THEORY
REAL TIME SYSTEMS
TEMPERATURE DEPENDENCE