Thermal operator and cutting rules at finite temperature and chemical potential

Journal Article · Sun Oct 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.085006· OSTI ID:20871434

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)

In the context of scalar field theories, both real and complex, we derive the cutting description at finite temperature (with zero/finite chemical potential) from the cutting rules at zero temperature through the action of a simple thermal operator. We give an alternative algebraic proof of the largest time equation which brings out the underlying physics of such a relation. As an application of the cutting description, we calculate the imaginary part of the one-loop retarded self-energy at zero/finite temperature and finite chemical potential and show how this description can be used to calculate the dispersion relation as well as the full physical self-energy of thermal particles.

• OSTI ID: 20871434
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DISPERSION RELATIONS
FIELD EQUATIONS
POTENTIALS
QUANTUM FIELD THEORY
SCALAR FIELDS
SELF-ENERGY