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

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.

16 pages. v2: published version

References in corpus (25)

• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• The pressure of hot QCD up to g^6 ln(1/g)
• Free Energy of QCD at High Temperature
• Quark mass thresholds in QCD thermodynamics
• The Three-Loop Free Energy for Pure Gauge QCD
• The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• The pressure of QCD at finite temperatures and chemical potentials
• Two-loop QCD gauge coupling at high temperatures
• The non-Abelian Debye screening length beyond leading order
• 3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• Plaquette expectation value and gluon condensate in three dimensions
• The pressure of deconfined QCD for all temperatures and quark chemical potentials
• Four Loop Result in $SU(3)$ Lattice Gauge Theory by a Stochastic Method: Lattice Correction to the Condensate
• The non-perturbative QCD Debye mass from a Wilson line operator
• Numerical Stochastic Perturbation Theory for full QCD
• Free Energy and Plaquette expectation value for gluons on the lattice, in three dimensions
• Dynamics of Langevin Simulation
• The $\mathcal{O}(g^6)$ coefficient in the thermodynamic potential of hot SU(N) Gauge Theories and MQCD
• Tackling the infrared problem of thermal QCD
• 3-d Lattice QCD Free Energy to Four Loops
• New issues for Numerical Stochastic Perturbation Theory
• Evading the Infrared Problem of Thermal QCD

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• Perturbative Thermal QCD: Formalism and Applications
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• Effective Theory of Wilson Lines and Deconfinement
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• Equation of State of hot and dense QCD: Resummed perturbation theory confronts lattice data
• Fuzzy Bags and Wilson Lines
• Three-dimensional physics and the pressure of hot QCD
• Lattice QCD at finite temperature and density
• Small shear viscosity in the semi quark gluon plasma
• Four-loop pressure of massless O(N) scalar field theory
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
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• On high-order perturbative calculations at finite density
• Heavy Quark Thermalization in Classical Lattice Gauge Theory: Lessons for Strongly-Coupled QCD
• Plaquette expectation value and lattice free energy of three-dimensional SU(N) gauge theory
• Debye screening mass of hot Yang-Mills theory to three-loop order
• IBP methods at finite temperature
• The Stefan-Boltzmann law in a small box and the pressure deficit in hot SU(N) lattice gauge theory
• Nonperturbative contributions to the QCD pressure
• A new method for taming tensor sum-integrals
• High-loop perturbative renormalization constants for Lattice QCD (I): finite constants for Wilson quark currents
• Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• Comments on Yang-Mills thermodynamics, the Hagedorn spectrum and the gluon gas
• The N_f^3 g^6 term in the pressure of hot QCD
• A fresh look on three-loop sum-integrals
• Soft photon propagation in a hot and dense medium to next-to-leading order
• The QCD static potential in D<4 dimensions at weak coupling
• The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops
• The QCD static potential in 2+1 dimensions at weak coupling
• Factorizing two-loop vacuum sum-integrals
• Holographic Thermodynamics and Transport of Flavor Fields
• Linde problem in Yang-Mills theory compactified on ${\mathbb{R}}^2\times {\mathbb{T}}^2$
• Method for comparing finite temperature field theory results with lattice data
• QCD Vacuum Energy and Its Implication for Quark Nugget Stability
• NSPT estimate of the improvement coefficient $c_A$ to two loops