Three-loop contributions to the free energy of λφ⁴ QFT

1995/10/31 by A. I. Bugrij, Bugrij, A. I., V. N. Shadura +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9510232

11 pages, LaTeX file

openalex publication_date 1995/10/31 · arxiv created 1995/11/01 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

The massive scalar field with λφ⁴ interaction placed in (3+1) dimensional box is considered. The sizes of the box are V× β (V=L³ is the volume, T=1/β is the temperature). The free energy is evaluated up to the 2nd order of PT. The averaging on the vacuum fluctuations is separated from the averaging on the thermal fluctuations explicitly. As result the free-energy is expressed through the scattering amplitudes. We find that in 3-loop approximation the expression for free energy coincides with the ansatz of Bernstein, Dashen, Ma suggested on the base of S-matrix formulation of statistical mechanics. The obtained expressions are generalized for higher order of PT.

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