Thermoalgebras and path integral

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.04.010· OSTI ID:21308084

Khanna, F C ^[1]; Malbouisson, A P.C. , ^[2]; Malbouisson, J M.C. , ^[3]

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1. Theoretical Physics Institute, University of Alberta, Edmonton, AB T6G 2J1 (Canada)
2. Centro Brasileiro de Pesquisas Fisicas/MCT, 22290-180 Rio de Janeiro, RJ (Brazil)
3. Instituto de Fisicas, Universidade Federal da Bahia, 40210-340 Salvador, BA (Brazil)

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{sup 1}){sup d}xR{sup D-d} topology is addressed.

• OSTI ID: 21308084
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 9 Vol. 324; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
BOGOLYUBOV TRANSFORMATION
BOSONS
FERMIONS
LIE GROUPS
PATH INTEGRALS
QUANTUM FIELD THEORY
TOPOLOGY