QCD pressure: renormalization group optimized perturbation theory confronts lattice

Abstract

The quark contribution to the QCD pressure, $P_q$, is evaluated up to next-to-leading order (NLO) within the renormalization group optimized perturbation theory (RGOPT) resummation approach. To evaluate the complete QCD pressure we simply add the perturbative NLO contribution from massless gluons to the resummed $P_q$. Despite of this unsophisticated approximation our results for $P=P_q+P_g$ at the central scale $M\sim 2\pi T$ show a remarkable agreement with ab initio lattice predictions for $0.25\lesssim T\lesssim 1\mathrm{GeV}$. We also show that by being imbued with RG properties, the RGOPT produces a drastic reduction of the embarrassing remnant scale dependence that plagues both standard thermal perturbative QCD and hard thermal loop perturbation theory (HTLpt) applications.

arXiv comment6 pages and 3 figures. Further clarifications. To appear in Phys. Rev. D

References in corpus (49)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• NJL-model analysis of dense quark matter
• The chiral and deconfinement aspects of the QCD transition
• Full result for the QCD equation of state with 2+1 flavors
• The QCD equation of state with dynamical quarks
• Chiral effective model with the Polyakov loop
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• The pressure of hot QCD up to g^6 ln(1/g)
• The QCD phase structure at finite temperature and density
• Quark mass thresholds in QCD thermodynamics
• Basics of thermal field theory -- a tutorial on perturbative computations
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Screened Perturbation Theory
• Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon Plasma
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• The pressure of QCD at finite temperatures and chemical potentials
• Advances in perturbative thermal field theory
• Optimized Perturbation Theory at Finite Temperature
• Resummation in Hot Field Theories
• QCD phase structure from functional methods
• Perturbative Thermal QCD: Formalism and Applications
• Three-loop HTL QCD thermodynamics
• Introductory lectures on lattice QCD at nonzero baryon number
• Seven-Loop Critical Exponents from Strong-Coupling phi^4-Theory in Three Dimensions
• Screened Perturbation Theory to Three Loops
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• Hard-thermal-loop Resummation of the Free Energy of a Hot Quark-Gluon Plasma
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Equation of State in 2+1 Flavor QCD at High Temperatures
• Equation of State of hot and dense QCD: Resummed perturbation theory confronts lattice data
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Gluon Thermodynamics at Intermediate Coupling
• Three-loop HTL gluon thermodynamics at intermediate coupling
• Two-loop HTL pressure at finite temperature and chemical potential
• Mass Expansions of Screened Perturbation Theory
• Four-loop screened perturbation theory
• Five-Loop Critical Temperature Shift in Weakly Interacting Homogeneous Bose-Einstein Condensate
• Strong-Coupling ${\varphi }^4$-Theory in $4-\epsilon$ Dimensions and Critical Exponents
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• α_S from $F_{\pi }$ and Renormalization Group Optimized Perturbation
• The chiral condensate from renormalization group optimized perturbation
• Renormalization Group Improved Optimized Perturbation Theory: Revisiting the Mass Gap of the O(2N) Gross-Neveu Model
• Renormalization Group Optimized Perturbation Theory at Finite Temperatures
• Scale Invariant Resummed Perturbation at Finite Temperatures
• Renormalization group improved pressure for cold and dense QCD
• Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
• Renormalization group improved pressure for hot and dense quark matter

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