The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure

2006/05/31 by Francesco Di Renzo, F. Di Renzo, M. Laine +4 · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1088/1126-6708/2006/07/026

published as JHEP 0607 (2006) 026 · 16 pages. v2: published version

openalex publication_date 2006/07/17 · arxiv created 2006/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Using Numerical Stochastic Perturbation Theory within three-dimensional pure SU(3) gauge theory, we estimate the last unknown renormalization constant that is needed for converting the vacuum energy density of this model from lattice regularization to the MSbar scheme. Making use of a previous non-perturbative lattice measurement of the plaquette expectation value in three dimensions, this allows us to approximate the first non-perturbative coefficient that appears in the weak-coupling expansion of hot QCD pressure.

Citations

• High-precision evaluation of four-loop vacuum bubbles in three dimensions
• Free energy and plaquette expectation value for gluons on the lattice, in three dimensions
• QCD and instantons at finite temperature
• New issues for numerical stochastic perturbation theory

Cited by

• QCD equation of state with almost physical quark masses
• Phases of dense quarks at large
• Framework for nonperturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• Quark number susceptibilities from resummed perturbation theory