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Title: Thermal operator representation of finite temperature graphs

Abstract

Using the mixed space representation (t,p{yields}) in the context of scalar field theories, we prove in a simple manner that the Feynman graphs at finite temperature are related to the corresponding zero temperature diagrams through a simple thermal operator, both in the imaginary time as well as in the real time formalisms. This result is generalized to the case when there is a nontrivial chemical potential present. Several interesting properties of the thermal operator are also discussed.

Authors:
;  [1];  [2];  [3];  [4]
  1. Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo (Brazil)
  2. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627-0171 (United States)
  3. Departamento de Fisica, Universidad Tecnica Federico Santa Maria, Casilla 110-V, Valparaiso (Chile)
  4. Departamento de Fisica, Universidade Federal do Para, Belem, Para 66075-110 (Brazil)
Publication Date:
OSTI Identifier:
20713760
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.72.085006; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FEYNMAN DIAGRAM; FIELD OPERATORS; POTENTIALS; QUANTUM FIELD THEORY; SCALAR FIELDS

Citation Formats

Brandt, F T, Frenkel, J, Das, Ashok, Espinosa, Olivier, and Perez, Silvana. Thermal operator representation of finite temperature graphs. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.085006.
Brandt, F T, Frenkel, J, Das, Ashok, Espinosa, Olivier, & Perez, Silvana. Thermal operator representation of finite temperature graphs. United States. https://doi.org/10.1103/PhysRevD.72.085006
Brandt, F T, Frenkel, J, Das, Ashok, Espinosa, Olivier, and Perez, Silvana. 2005. "Thermal operator representation of finite temperature graphs". United States. https://doi.org/10.1103/PhysRevD.72.085006.
@article{osti_20713760,
title = {Thermal operator representation of finite temperature graphs},
author = {Brandt, F T and Frenkel, J and Das, Ashok and Espinosa, Olivier and Perez, Silvana},
abstractNote = {Using the mixed space representation (t,p{yields}) in the context of scalar field theories, we prove in a simple manner that the Feynman graphs at finite temperature are related to the corresponding zero temperature diagrams through a simple thermal operator, both in the imaginary time as well as in the real time formalisms. This result is generalized to the case when there is a nontrivial chemical potential present. Several interesting properties of the thermal operator are also discussed.},
doi = {10.1103/PhysRevD.72.085006},
url = {https://www.osti.gov/biblio/20713760}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 72,
place = {United States},
year = {Sat Oct 15 00:00:00 EDT 2005},
month = {Sat Oct 15 00:00:00 EDT 2005}
}