Exact Calculation of Ring Diagrams and the Off-shell Effect on the Equation of State

Details Exact Calculation of Ring Diagrams and the Off-shell Effect on the Equation of State Exact Calculation of Ring Diagrams and the Off-shell Effect on the Equation of State

2002-12-24

arxiv.org/abs/hep-ph/0212355v2

Phys.Rev. D67 (2003) 105023

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 11 figures, refereces added, final version to appear in PRD

Scientific paper

10.1103/PhysRevD.67.105023

The partition function with ring diagrams at finite temperature is exactly caluclated by using contour integrals in the complex energy plane. It contains a pole part with temperature and momentum dependent mass and a phase shift part induced by off-shell effect in hot medium. The thermodynamic potentials for $\phi^4$ and $\phi^3$ interactions are calculated and compared with the quasi-particle (pole) approximation. It is found that the off-shell effect on the equation of state is remarkable.

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