Thermoalgebras and path integral

Using a representation for Lie groups closely associated with thermal problems, we derive the algebraic rules of the real-time formalism for thermal quantum field theories, the so-called thermo-field dynamics (TFD), including the tilde conjugation rules for interacting fields. These thermo-group rep...

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Bibliographic Details
Published in:Annals of physics 2009-09, Vol.324 (9), p.1931-1952
Main Authors: Khanna, F.C., Malbouisson, A.P.C., Malbouisson, J.M.C., Santana, A.E.
Format: Article
Language:English
Subjects:
ALGEBRA
BOGOLYUBOV TRANSFORMATION
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FERMIONS
LIE GROUPS
Mathematics
Path integral
PATH INTEGRALS
Physics
QUANTUM FIELD THEORY
Quantum theory
Thermo-algebras
Thermo-field dynamics
Thermodynamics
TOPOLOGY
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Summary:Using a representation for Lie groups closely associated with thermal problems, we derive the algebraic rules of the real-time formalism for thermal quantum field theories, the so-called thermo-field dynamics (TFD), including the tilde conjugation rules for interacting fields. These thermo-group representations provide a unified view of different approaches for finite-temperature quantum fields in terms of a symmetry group. On these grounds, a path integral formalism is constructed, using Bogoliubov transformations, for bosons, fermions and non-abelian gauge fields. The generalization of the results for quantum fields in ( S 1 ) d × R D - d topology is addressed.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2009.04.010