2002/11/30 by K. Kajantie, M. Laine, Kari Rummukainen +3 · 10 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Constant (computer programming) #Coupling (piping) #Coupling constant #Energy (signal processing) #Energy density #High-Energy Particle Collisions Research #Materials science #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Theoretical physics #Thermodynamics #hep-ph
paper · pdf · doi:10.1103/physrevd.67.105008
published as Phys.Rev. D67 (2003) 105008 · 18 pages. Small clarifications added. To appear in Phys.Rev.D
arxiv created 2003/03/18 · openalex publication_date 2003/05/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The free energy density, or pressure, of QCD has at high temperatures an expansion in the coupling constant g, known so far up to order g5. We compute here the last contribution which can be determined perturbatively, g6ln(1/g), by summing together results for the 4-loop vacuum energy densities of two different three-dimensional effective field theories. We also demonstrate that the inclusion of the new perturbative g6ln(1/g) terms, once they are summed together with the so far unknown perturbative and nonperturbative g6 terms, could potentially extend the applicability of the coupling constant series down to surprisingly low temperatures.