2001/06/04 by Eric Braaten, E. Petitgirard, Emmanuel Petitgirard
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling constant #Massless particle #Mathematical physics #Mathematics #Physics #Quantum mechanics #Renormalization #Scalar (mathematics) #Scalar field #Thermodynamic potential #Thermodynamics #hep-ph
paper · pdf · doi:10.1103/physrevd.65.041701
published as Phys.Rev. D65 (2002) 041701 · 4 pages, 1 figure
arxiv created 2001/06/04 · openalex publication_date 2002/01/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We solve the 3-loop \ensuremathΦ-derivable approximation to the thermodynamics of the massless \ensuremathφ4 field theory by reducing it to a 1-parameter variational problem. The thermodynamic potential is expanded in powers of g2 and m/T, where g is the coupling constant, m is a variational mass parameter, and T is the temperature. There are ultraviolet divergences beginning at 6th order in g that cannot be removed by renormalization. However a finite thermodynamic potential obtained by truncating after terms of 5th order in g and m/T defines a stable approximation to the thermodynamic functions.