Thermodynamics of SU(3) Lattice Gauge Theory

Abstract

The pressure and the energy density of the $SU(3)$ gauge theory are calculated on lattices with temporal extent $N_{\tau }=4$, 6 and 8 and spatial extent $N_{\sigma }=16$ and 32. The results are then extrapolated to the continuum limit. In the investigated temperature range up to five times $T_c$ we observe a $15\%$ deviation from the ideal gas limit. We also present new results for the critical temperature on lattices with temporal extent $N_{\tau }=8$ and 12. At the corresponding critical couplings the string tension is calculated on $32^4$ lattices to fix the temperature scale. An extrapolation to the continuum limit yields $T_c/\sqrt{\sigma }=0.629(3)$. We furthermore present results on the electric and magnetic condensates as well as the temperature dependence of the spatial string tension. These observables suggest that the temperature dependent running coupling remains large even at $T\simeq 5T_c$. For the spatial string tension we find $\sqrt{{\sigma }_s}/T=0.566(13)g^2(T)$ with $g^2(5T_c)\simeq 1.5$.

34 pages, 11 Postscript figures

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• Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions
• Themodynamics for pure SU($2$) gauge theory using gradient flow
• Viscous modifications to quark and gluon distribution functions in quark-gluon plasma medium
• The QCD Phase Structure at High Baryon Density
• Frontiers of finite temperature lattice QCD
• Holographic Estimates of the Deconfinement Temperature
• Borel Resummation of the Perturbative Free Energy of Hot Yang-Mills Theory
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Linear growth of the trace anomaly in Yang-Mills thermodynamics
• Thermodynamics of quark-gluon plasma at finite baryon density
• Effects of quarks on the formation and evolution of Z(3) walls and strings in relativistic heavy-ion collisions
• A renewed look at eta' in medium
• Hyperasymptotic approximation to the plaquette and determination of the gluon condensate
• Resummations of free energy at high temperature
• An overview of (selected) recent results in finite-temperature lattice QCD
• Mean Field Effect on J/ψProduction in Heavy Ion Collisions
• The consequences of SU(3) colorsingletness, Polyakov Loop and Z(3) symmetry on a quark-gluon gas
• Combining infrared and low-temperature asymptotes in Yang-Mills theories
• On QCD Thermodynamics with Improved Actions
• Bulk viscosity of hot dense Quark matter in PNJL model
• Effective lattice Polyakov loop theory vs. full SU(3) Yang-Mills at finite temperature
• About a possible 3rd order phase transition at T=0 in 4D gluodynamics
• Thermal effects on quark-gluon mixed condensate g<\bar{q} σG q> from lattice QCD
• Polyakov Loop Dynamics in the Center Symmetric Phase
• Effect of gluon condensate on holographic Schwinger effect
• Dynamics of quark-gluon plasma from Field correlators
• A minimal quasiparticle approach for the QGP and its large-$N_c$ limits
• Quark-hadron phase transition in a chameleon Brans-Dicke model of brane gravity
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Polyakov loop fluctuations in Dirac eigenmode expansion
• The Free Energy Of Hot Gauge Theories
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach
• The speed of sound in QGP and SU(3) Yang-Mills theory
• Thermalization in SU(3) gauge theory after a deconfining quench
• Non-conformality and non-perfectness of fluid near phase transition
• Effects of hadronic repulsive interactions on the fluctuations of conserved charges
• Renormalization Group Summation and the Free Energy of Hot QCD
• Central Dominance and the Confinement Mechanism in Gluodynamics
• Direct determination of the gauge coupling derivatives for the energy density in lattice QCD
• Spontaneous CP violation in quark scattering from QCD Z(3) interfaces
• Investigation of meson masses for real and imaginary chemical potential
• On Exotic Hybrid Pseudo-Potentials and Gauge/String Duality
• A reanalysis of Finite Temperature SU(N) Gauge Theory
• Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
• Monopoles and vortices in Yang-Mills plasma
• Variational analysis of the deconfinement phase transition
• Dynamical role of Polyakov loops in the QCD thermodynamics
• QCD Thermodynamics with Improved Actions
• Strange matter and kaon to pion ratio in SU(3) PNJL model
• Realization of Power-Law Inflation & Variants via Variation of the Strong Coupling Constant
• Lattice QCD at nonzero temperature and density
• Dynamical chiral-symmetry breaking at T=0 and $T\ne 0$ in the Schwinger-Dyson equation with lattice QCD data
• Fermi-Einstein condensation in dense QCD-like theories
• Robustness of Sound Speed and Jet Quenching for Gauge/Gravity Models of Hot QCD
• Screening masses in the SU(3) pure gauge theory and universality
• An effective thermodynamic potential from the instanton with Polyakov-loop contributions
• Thermodynamics of the Glueball Resonance Gas
• Low energy meson spectrum from a QCD approach based on many-body methods
• Screening masses in the SU(3) pure gauge theory and universality
• On the Thermodynamic Geometry of Hot QCD
• Area covered by disks in small-bounded continuum percolating systems: An application to the string percolation model
• SU(3) deconfining phase transition with finite volume corrections due to a confined exterior
• Confining Properties of the Homogeneous Self-Dual Field and the Effective Potential in SU(2) Yang-Mills Theory
• Three dimensional finite temperature SU(3) gauge theory near the phase transition
• Decoupling of non-strange, strange and multi-strange particles from the system in Cu-Cu, Au-Au and Pb-Pb collisions at high energies
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Glueball dark matter, precisely
• The Chiral Separation Effect from lattice QCD at the physical point
• Effect of mesonic off-shell correlations in the PNJL equation of state
• The hadronization line in stringy matter
• Progress in finite temperature lattice QCD
• Extracting gluon condensate from the average plaquette
• Proper temperature of Schwarzschild AdS black hole revisited
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Relaxation time ansatz and shear and bulk viscosities of gluon matter
• Strongly coupled matter near phase transition
• The Powers of Deconfinement
• Pion and Kaon Spectra from Distributed Mass Quark Matter
• Glueballs, gluerings and gluestars in the d=2+1 SU(N) gauge theory
• Color screening masses from string models
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• Horava-Lifshitz early universe phase transition beyond detailed balance
• The Wilson Flow and the finite temperature phase transition
• Asymptotically Free Theory with Scale Invariant Thermodynamics
• Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone's theorem at finite temperature
• Coulomb gauge Yang-Mills theory at finite temperatures: glueballs versus quasi-gluons
• Trace Anomaly and dimension two gluon condensate above the phase transition
• Cosmological and astrophysical aspects of finite-density QCD
• Quark-hadron phase transition in Brans-Dicke brane gravity
• Robustness of baryon-strangeness correlation and related ratios of susceptibilities
• Dark Matter from Dark Glueball Dominance
• Thermal power terms in the Einstein-dilaton system
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• Chiral and U_A(1) symmetry in correlation functions in medium
• Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Hamiltonian Study of Improved $U(1$ Lattice Gauge Theory in Three Dimensions
• Temperature Dependence of the Axion Mass in a Scenario Where the Restoration of Chiral Symmetry Drives the Restoration of the $U_A(1)$ Symmetry
• QCD thermodynamics on the lattice
• Nuclear and Quark Matter at High Temperature
• Deconfinement transition dynamics and early thermalization in QGP
• Deconfinement and Thermodynamics in 5D Holographic Models of QCD
• Holographic imaginary potential of a quark antiquark pair in the presence of gluon condensation
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Dynamical Restoration of Z_N Symmetry in SU(N)+Higgs Theories
• Screening Masses in Gluonic Plasma
• Phenomenology of renormalons and the OPE from lattice regularization: the gluon condensate and the heavy quark pole mass
• Evolution of the Structure Factors in Pure SU(N) Lattice Gauge Theory and Effective Spin Models
• Model A Dynamics and the Deconfining Phase Transition for Pure Lattice Gauge Theory
• Four-loop logarithms in 3d gauge + Higgs theory
• Implementation of chromomagnetic gluons in Yang-Mills thermodynamics
• Vacuum Energy Density in the Quantum Yang - Mills Theory
• Magnetic and Thermodynamic Stability of SU(2) Yang-Mills Theory
• SU(3) Gauge Theory with Adjoint Fermions
• Gluon condensate, quark propagation, and dilepton production in the quark-gluon plasma
• Existence of mesons after deconfinement
• Axial-tensor Meson Family at $T\ne 0$
• Domain growth and fluctuations during quenched transition to QGP in relativistic heavy-ion collisions
• Quadratic thermal terms in the deconfined phase from holography
• Fixed Point SU(3) Gauge Actions: Scaling Properties and Glueballs
• Fixed-scale approach to finite-temperature lattice QCD with shifted boundaries
• On SU(3) effective models and chiral phase-transition
• Effective Model Approach to the Dense State of QCD Matter
• Following Gluonic World Lines to Find the QCD Coupling in the Infrared
• Comparison of algorithms for solving the sign problem in the O(3) model in 1+1 dimensions at finite chemical potential
• Renormalization of dimension 6 gluon operators
• Glueballs and vector mesons at NICA
• Pressure and interaction measure of the gluon plasma
• Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g**6-terms
• Exploring the gluoN_c plasma
• A holographic relation between the deconfinement temperature and gluon condensate
• Horava-Lifshitz cosmology, entropic interpretation and quark-hadron phase transition
• The Dynamics and Thermodynamics of Soft-Wall AdS/QCD
• Polyakov Loops in Strongly-Coupled Plasmas with Gravity Duals
• QCD at non-zero temperature: bulk properties and heavy quarks
• High temperature phase of QCD
• Thermodynamic inconsistency in quasiparticle model - a revisit
• Consistent approach to study gluon quasi-particles
• Real-time hard-thermal-loop gluon self-energy in a semiquark-gluon plasma
• Asymptotic scaling and continuum limit of pure SU(3) lattice gauge theory
• Heavy Quarkonia and Quark Drip Lines in Quark-Gluon Plasma
• Gluon Condensate and Non-Perturbative Quark-Photon Vertex
• Glueballs, gluon condensate, and pure glue QCD below T_c
• Thermal spectrum of pseudo-scalar glueballs and Debye screening mass from holography
• Polyakov loop fluctuations in the presence of external fields
• $Z_3$ meta-stable states in PNJL model
• Aspects of quarkonium propagation in a thermal medium as seen by string models
• Factorizing two-loop vacuum sum-integrals
• Singular perturbation theory for the thermodynamic properties of holographic QCD
• Charmonium ground and excited states at finite temperature from complex Borel sum rules
• Single quark entropy and the Polyakov loop
• Scalaron dark matter and the thermal history of the universe
• Temperature dependence of dimension 6 gluon operators and their effects on Charmonium
• Chiral Hadronic Mean Field Model including Quark Degrees of Freedom
• Non extremal geometries and holographic phase transitions
• Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results
• The effective Tolman temperature in curved spacetimes
• Numerical study of hot strongly interacting matter
• Groundstate projection of the charged SU(2) polarization tensor in a chromomagnetic background field
• X(3872) as a D-D* molecule bound by quark exchange forces
• Fortran MPI Checkerboard Code for SU(3) Lattice Gauge Theory I
• DGP brane cosmology and quark-hadron phase transition
• The non-perturbative analytical equation of state for the gluon matter. I
• Four loop stochastic perturbation theory in 3d SU(3)
• Theory and Phenomenology of the Polyakov loop in QCD Thermodynamics
• Measuring infrared contributions to the QCD pressure
• Electric Screening Mass of the Gluon with Condensate at Finite Temperature
• Towards 4-loop NSPT result for a 3-dimensional condensate-contribution to hot QCD pressure
• Properties of quark gluon plasma from lattice calculations
• Understanding Confinement From Deconfinement
• SU(3) surface tension from the lattice with the fixed point action
• A non-abelian quasi-particle model for gluon plasma
• Gluon propagators and center vortices in gluon plasma
• Thermodynamics of AdS/QCD within the 5D dilaton-gravity model
• Thermodynamics of (2+1) flavor QGP in quasiparticle model
• Hagedorn transition and topological entanglement entropy
• Revisiting glueball wave functions at zero and finite temperature
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• $J/\psi$ near $T_c$
• Van Hove Singularities in the Quark-Gluon Plasma
• Dirac eigenvalues and eigenvectors at finite temperature
• Contributions of stochastic background fields to the shear and bulk viscosities of the gluon plasma
• Glueballs at high temperature within the Hard-Wall holographic model
• A holographic study on QCD phase transition and neutron star properties
• Consistent Thermodynamics for Quasiparticle Boson System with Zero Chemical Potential
• Jet quenching parameter \hat q in the stochastic QCD vacuum with Landau damping
• QCD phase transition with a power law chameleon scalar field in the bulk
• D=2 gluon condensate and QCD propagators at finite temperature
• Abelian spatial string tension in finite temperature SU(2) gauge theory
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
• Study of the chiral behavior of [the chiral condensate] in quenched QCD
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Hard loop effective theory of the (anisotropic) quark gluon plasma
• The properties of $D1$-branes from lattice super Yang--Mills theory using gauge/gravity duality
• The Thermodynamics of a 5D Gravity-Dilaton-Tachyon Solution
• Spatial string tension in $N_f=2$ lattice QCD at finite temperature
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills
• QCD equation of state: Physical quark masses and asymptotic temperatures
• In search of the QCD-Gravity correspondence
• Fixed scale approach to the equation of state on the lattice
• Dynamical holographic QCD model
• Conformal Anomaly in Yang-Mills Theory and Thermodynamics of Open Confining Strings
• Viscosities of the quasigluon plasma
• Hotter, Denser, Faster, Smaller...and Nearly-Perfect: What's the matter at RHIC?
• Landau's statistical mechanics for quasiparticle models
• Quark-hadron phase transition in DGP including BD brane
• Hydrodynamics of the Polyakov Line in SU$(N_c)$ Yang-Mills
• Perturbative Thermodynamics of Lattice QCD with Chiral-Invariant Four-Fermion Interactions
• Scaling in a toy model of gluodynamics at finite temperatures
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Review of Neutral Naturalness
• The equation of state with non-equilibrium methods
• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$
• Universality and RG-improved gauge actions
• Thermodynamics of (2+1)-flavor QCD
• Production Mechanism for Quark Gluon Plasma in Heavy Ion Collisions
• Strange quark matter: mapping QCD lattice results to finite baryon density by a quasi-particle model
• Equation of state for pure SU(3) gauge theory on anisotropic lattices
• Holographic Hagedorn Temperature: Strong Coupling, Flavor and $\theta$-angle Effects
• Gravitating bubbles of gluon plasma above deconfinement temperature
• Monte-Carlo simulations of QCD Thermodynamics in the PNJL model
• Statistical mechanics of confined quantum particles
• Quasi particles in hot QCD
• Dynamical formation of center domains in quark-gluon plasma
• Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification
• Universal aspects in the equation of state for Yang-Mills theories
• The spatial string tension and the nonperturbative Debye mass from the Field Correlator Method
• Non-perturbative determination of anisotropy coefficients and pressure gap at the deconfining transition of QCD
• Critical Behavior of J/psi across the Phase Transition from QCD sum rules
• Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point
• Strongly interacting matter from holographic QCD model
• Triviality of the Aharonov-Bohm interaction in a spatially confining vacuum
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• On the equation of state of U(1) lattice gauge theory in three dimensions
• Topological data analysis of the deconfinement transition in SU(3) lattice gauge theory
• Theoretical description of the plaquette with exponential accuracy
• Modification of hadronic spectral functions under extreme conditions: An approach based on QCD sum rules and the maximum entropy method
• $t\to 0$ extrapolation function in SF$t$X method for the energy-momentum tensor
• Inhomogeneous phase of a Gluon Plasma at finite temperature and density
• Heavy quarkonium with finite three momentum near $T_c$
• Landau-Ginsberg Theory of Quark Confinement
• Gauge-invariant nonlocal quark condensates in QCD
• Correlation corrections to the thermodynamic properties of spin asymmetric QGP matter
• Two problems in thermal field theory
• Extracting the strangeness freeze-out temperature from net-Kaon data at RHIC
• Screening properties of quark-gluon plasma obtained from distribution and correlation functions of the constituent quasiparticle model
• The energy-momentum tensor in lattice QCD and the Equation of State
• Bulk Thermodynamics of SU(N) Lattice Gauge Theories at Large-N
• On a possibility of adjoint colored states condensation at finite temperatures in lattice gauge model
• Correlations and Critical Behavior in Lattice Gluodynamics
• Interplay between chromoelectric and chromomagnetic gluons in Yang-Mills thermodynamics
• Flavored aspects of QCD thermodynamics from Lattice QCD
• Phase Fluctuations near the Chiral Critical Point
• Spontaneous CP violating quark scattering from asymmetric $Z\left(3\right)$ interfaces in QGP
• Revisiting the sphaleron and axion production rates in QCD at high temperatures
• Hard-thermal-loop QED thermodynamics
• Approaching the Continuum Limit of the Deconfinement Critical Point for $N_{\text{f}}=2$ Staggered Fermions
• Thermodynamics of large-$N$ gauge theories on a sphere: weak versus strong coupling
• Hagedorn spectrum and equation of state of Yang-Mills theories
• Finite Size Effects in Quark-Gluon Plasma Formation
• Quark-hadron phase transition in massive gravity
• Glueball dynamics in the hot plasma
• The Quark-Gluon Plasma
• Colour deconfinement in hot and dense matter
• The Non-Perturbative $\mathcal{O}(g^6)$ Contribution to the Free Energy of Hot SU(N) Gauge Theory
• Dynamical fermions in lattice quantum chromodynamics
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• 2+1 d Georgi Glashow Model Near Critical Temperature
• Connecting Polyakov Loops to Hadrons
• Probing the QCD Equation of State
• Properties of the Free Energy Density Using the Principle of Maximum Conformality
• QCD thermodynamics at zero and finite densities with improved Wilson quarks
• Thermodynamics of QCD at large quark chemical potential
• Non-perturbative study of spectral function and its application in Quark Gluon Plasma