Three-dimensional physics and the pressure of hot QCD

Abstract

We update Monte Carlo simulations of the three-dimensional SU(3) + adjoint Higgs theory, by extrapolating carefully to the infinite volume and continuum limits, in order to estimate the contribution of the infrared modes to the pressure of hot QCD. The sum of infrared contributions beyond the known 4-loop order turns out to be a smooth function, of a reasonable magnitude and specific sign. Unfortunately, adding this function to the known 4-loop terms does not improve the match to four-dimensional lattice data, in spite of the fact that other quantities, such as correlation lengths, spatial string tension, or quark number susceptibilities, work well within the same setup. We outline possible ways to reduce the mismatch.

14 pages

References in corpus (32)

• Thermodynamics of SU(3) Lattice Gauge Theory
• The QCD Equation of State with almost Physical Quark Masses
• 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 equation of state in lattice QCD: with physical quark masses towards the continuum limit
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Two-loop QCD gauge coupling at high temperatures
• Static correlation lengths in QCD at high temperatures and finite densities
• On the Apparent Convergence of Perturbative QCD at High Temperature
• Effective Theory of Wilson Lines and Deconfinement
• How to resum long-distance contributions to the QCD pressure?
• QCD equation of state with 2+1 flavors of improved staggered quarks
• SU(N) gauge theories in 2+1 dimensions -- further results
• Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• Plaquette expectation value and gluon condensate in three dimensions
• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
• Z(3)-symmetric effective theory for SU(3) Yang-Mills theory at high temperature
• The Phase Diagram of Three-Dimensional SU(3) + Adjoint Higgs Theory
• O(a) errors in 3-D SU(N) Higgs theories
• Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory
• A New Dimensionally Reduced Effective Action for QCD at High Temperature
• The Spatial String Tension and Dimensional Reduction in QCD
• Plaquette expectation value and lattice free energy of three-dimensional SU(N) gauge theory
• Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions
• The diagonal and off-diagonal quark number susceptibility of high temperature and finite density QCD
• Two loop renormalization of the magnetic coupling in hot QCD
• Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory
• Improvement of the hot QCD pressure by the minimal sensitivity criterion
• Method for comparing finite temperature field theory results with lattice data

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• Massless Mode and Positivity Violation in Hot QCD
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• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• Quark number susceptibilities from resummed perturbation theory
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Parton energy loss and momentum broadening at NLO in high temperature QCD plasmas
• The QCD trace anomaly
• Thermodynamics of strong-interaction matter from Lattice QCD
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Equation of state of a relativistic theory from a moving frame
• Cosmic-ray antiproton constraints on light singlino-like dark matter candidates
• Heavy Quark Thermalization in Classical Lattice Gauge Theory: Lessons for Strongly-Coupled QCD
• Spatial string tension of finite temperature QCD matter in gauge/gravity duality
• A brief overview of hard-thermal-loop perturbation theory
• Cold Quark Matter, Quadratic Corrections and Gauge/String Duality
• Spatial correlators in strongly coupled plasmas
• Transverse momentum broadening from the lattice
• The Polyakov loop at next-to-next-to leading order
• Analytical study of a gas of gluonic quasiparticles at high temperature: effective mass, pressure and trace anomaly
• The nonperturbative contribution to asymptotic masses
• Frontiers of finite temperature lattice QCD
• Finite Volume Effects in Thermal Field Theory
• Full O(a) improvement in EQCD
• Hot and Dense QCD Shear Viscosity at Leading Log
• A minimal quasiparticle approach for the QGP and its large-$N_c$ limits
• The force-force-correlator in hot QCD perturbatively and from the lattice
• Lattice QCD at nonzero temperature and density
• Off-diagonal Flavour Susceptibilities from AdS/CFT
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• Pressure and interaction measure of the gluon plasma
• Exploring the gluoN_c plasma
• Renormalization of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow
• Investigating jet quenching on the lattice
• The non-perturbative analytical equation of state for the gluon matter. I
• Jet quenching from the lattice
• Linde problem in Yang-Mills theory compactified on ${\mathbb{R}}^2\times {\mathbb{T}}^2$
• Exploring the Tan contact term in Yang-Mills theory
• High order quark number susceptibilities in hot QCD from lattice EQCD
• Properties of the Free Energy Density Using the Principle of Maximum Conformality