NNLO hard-thermal-loop thermodynamics for QCD

Abstract

We calculate the thermodynamic functions of a quark-gluon plasma for general N_c and N_f to three-loop order using hard-thermal-loop perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations of the vacuum, the HTL mass parameters, and the strong coupling constant.We show that at three loops, the results for the pressure and trace anomaly are in very good agreement with recent lattice data down to temperatures T~2T_c.

8 pages, 2 figs

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Cited by in corpus (68)

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• Lattice QCD at non-zero temperature
• Perturbative Thermal QCD: Formalism and Applications
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• Soft interactions in cold quark matter
• The Surprising Transparency of the sQGP at LHC
• Quarkonium states in a complex-valued potential
• Production and Elliptic Flow of Dileptons and Photons in the semi-Quark Gluon Plasma
• Electric Conductivity from the solution of the Relativistic Boltzmann Equation
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• Cold quark matter at N3LO: soft contributions
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Non-congruence of the nuclear liquid-gas and deconfinement phase transitions
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Bulk viscous evolution within anisotropic hydrodynamics
• Massless Mode and Positivity Violation in Hot QCD
• Lattice QCD for Cosmology
• Two-loop HTL pressure at finite temperature and chemical potential
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• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics
• Quark number susceptibilities from resummed perturbation theory
• Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory
• Quark Number Susceptibilities from Two-Loop Hard Thermal Loop Perturbation Theory
• Quark-to-gluon composition of the quark-gluon plasma in relativistic heavy-ion collisions
• Trace Anomaly and Quasi-Particles in Finite Temperature SU(N) Gauge Theory
• The QCD trace anomaly
• Dilepton rate and quark number susceptibility with the Gribov action
• A brief overview of hard-thermal-loop perturbation theory
• Conserved Density Fluctuation and Temporal Correlation Function in HTL Perturbation Theory
• General structure of fermion two-point function and its spectral representation in a hot magnetised medium
• An introduction to Thermal Field Theory and Some of its Application
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• NNLO HTLpt predictions for the curvature of the QCD phase transition line
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• Hard Thermal Loop -- theory and applications
• Equation of State for Cosmological Matter at and beyond QCD and Electroweak Eras
• Hard-thermal-loop QCD Thermodynamics
• Review of recent highlights in lattice calculations at finite temperature and finite density
• Lattice SU(3) thermodynamics and the onset of perturbative behaviour
• Finite temperature QCD four-point function in the presence of a weak magnetic field within the hard thermal loop approximation
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• Off-diagonal Flavour Susceptibilities from AdS/CFT
• Two-loop HTL-resummed thermodynamics for N=4 supersymmetric Yang-Mills theory
• Three loop HTL perturbation theory at finite temperature and chemical potential
• Photon Damping in One-Loop HTL Perturbation Theory
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• $\mathcal{M}$cTEQ ($\mathcal{M}$ $\mathbf{c}$hiral perturbation theory-compatible deconfinement $\mathbf{T}$emperature and $\mathbf{E}$ntanglement Entropy up to terms $\mathbf{Q}$uartic in curvature) and FM ($\mathbf{F}$lavor $\mathbf{M}$emory)
• Toward construction of a consistent field theory with Poincare covariance in terms of step-function-type basis functions showing confinement/deconfinement, mass-gap and Regge trajectory for non-pure/pure non-Abelian gauge fields
• NLO quark self-energy and dispersion relation using the hard thermal loop resummation
• Weakly and strongly coupled degrees of freedom in the quark-gluon plasma
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• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD
• Massive Gauge Theory with Quasigluon for Hot $SU(N)$: Phase Transition and Thermodynamics
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• QCD Thermodynamics at Intermediate Coupling
• Progress in Lattice QCD at non-zero temperature and QGP
• Properties of the Free Energy Density Using the Principle of Maximum Conformality
• Scheme dependence of two-loop HTLpt-resummed ${\text{SYM}}_{4,4}$ thermodynamics