Thermal operator representation of finite temperature graphs

Journal Article · Sat Oct 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.085006· OSTI ID:20713760

Brandt, F T; Frenkel, J ^[1]; Das, Ashok ^[2]; Espinosa, Olivier ^[3]; Perez, Silvana ^[4]

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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)

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.

• OSTI ID: 20713760
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FEYNMAN DIAGRAM
FIELD OPERATORS
POTENTIALS
QUANTUM FIELD THEORY
SCALAR FIELDS