Free energy of hot gauge theories with fermions throughg5

1995/07/31 by Chengxing Zhai, Boris Kastening · 13 citations
Chemistry · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Chemistry #Combinatorics #Crystallography #Energy (signal processing) #Fermion #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph

paper · pdf · doi:10.1103/physrevd.52.7232

published as Phys.Rev. D52 (1995) 7232-7246 · 31 pages, 6 figures, LaTeX; minor beautifications, reference list extended, version to be published in Phys.Rev.D

arxiv created 1995/11/09 · openalex publication_date 1995/12/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute the free energy density F for gauge theories, with fermions, at high temperature and zero chemical potential. In the expansion F=T⁴[c₀+c₂g²+c₃g³+(c₄^\ensuremath'lng+c₄)g⁴+(c ₅^\ensuremath'g+c₅)g⁵+O(g⁶)] we determine c₅^\ensuremath' and c₅ analytically by calculating two- and three-loop diagrams. The g⁵ term constitutes the first correction to the g³ term and is for the non-Abelian case the last power of g than can be computed within perturbation theory. We find that the g⁵ term receives no contributions from overlapping double-frequency sums and that c₅^\ensuremath' vanishes. \textcopyright 1995 The American Physical Society.

Citations

• QCD and instantons at finite temperature

Cited by

• Pressure of hot QCD up tog6ln(1/g)
• One-loop QCD thermodynamics in a strong homogeneous and static magnetic field
• Covariant derivative expansion of the Yang-Mills effective action at high temperatures
• The Quark-Gluon Plasma – A Short Introduction
• Lattice QCD constraints on hybrid and quark stars
• Advances in perturbative thermal field theory
• Gluon Thermodynamics at Intermediate Coupling
• QCD at high density/temperature
• String tension and Chern-Simons fluctuations in the vortex vacuum ofd=3 gauge theory
• Three-loop pressure and susceptibility at finite temperature and density from hard-thermal-loop perturbation theory
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma: Entropy and density
• N = 4 supersymmetric Yang-Mills thermodynamics to order λ2
• Four loop stochastic perturbation theory in 3d SU(3)