Fixed Scale Approach to Equation of State in Lattice QCD

Abstract

A new approach to study the equation of state in finite-temperature QCD is proposed on the lattice. Unlike the conventional method in which the temporal lattice size $N_t$ is fixed, the temperature $T$ is varied by changing $N_t$ at fixed lattice scale. The pressure of the hot QCD plasma is calculated by the integration of the trace anomaly with respect to $T$ at fixed lattice scale. This "$T$-integral method" is tested in quenched QCD on isotropic and anisotropic lattices and is shown to give reliable results especially at intermediate and low temperatures.

5 pages, ReVTeX, 4 figures, version to appear in PRD

References in corpus (10)

• Thermodynamics of SU(3) Lattice Gauge Theory
• Accurate Scale Determinations for the Wilson Gauge Action
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• The Anisotropic Wilson Gauge Action
• Equation of state in finite-temperature QCD with two flavors of improved Wilson quarks
• Light quark masses from unquenched lattice QCD
• Thermodynamics of SU(3) gauge theory on anisotropic lattices
• Numerical study of O(a) improved Wilson quark action on anisotropic lattice
• Lattice Monte Carlo Data versus Perturbation Theory
• Two-flavor QCD Thermodynamics using Anisotropic Lattices

Cited by in corpus (47)

• The QCD equation of state from the lattice
• QCD Thermodynamics from the Lattice
• QCD Phase Diagram: Phase Transition, Critical Point and Fluctuations
• Thermodynamics of SU(3) Gauge Theory from Gradient Flow
• Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow
• Effective matrix model for deconfinement in pure gauge theories
• Non-Abelian Dark Forces and the Relic Densities of Dark Glueballs
• Critical point and scale setting in SU(3) plasma: An update
• QCD thermodynamics with continuum extrapolated Wilson fermions I
• Equation of state of the SU($3$) Yang-Mills theory: a precise determination from a moving frame
• Topological susceptibility in finite temperature (2+1)-flavor QCD using gradient flow
• Exploring Nf=2+1 QCD thermodynamics from the gradient flow
• 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
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• The thermal QCD transition with two flavours of twisted mass fermions
• Implications of Poincare symmetry for thermal field theories in finite-volume
• Equation of state in 2+1 flavor QCD with improved Wilson quarks by the fixed scale approach
• Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Dark Confinement-Deconfinement Phase Transition: A Roadmap from Polyakov Loop Models to Gravitational Waves
• Entanglement in Four-Dimensional SU(3) Gauge Theory
• The QCD trace anomaly
• Jarzynski's theorem for lattice gauge theory
• QCD thermodynamics with continuum extrapolated Wilson fermions II
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Two-loop perturbative corrections to the thermal effective potential in gluodynamics
• Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues
• A brief overview of hard-thermal-loop perturbation theory
• Correlations between perturbation theory and power corrections in QCD at zero and finite temperature
• Excluded-volume effects for a hadron gas in Yang-Mills theory
• Finite Volume Effects in Thermal Field Theory
• Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
• (2+1)-flavor QCD Thermodynamics from the Gradient Flow
• Proper heavy-quark potential from a spectral decomposition of the thermal Wilson loop
• Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
• Dark Matter from Dark Glueball Dominance
• Free energies of heavy quarks in full-QCD lattice simulations with Wilson-type quark action
• Measurement of thermodynamics using gradient flow
• Fixed-scale approach to finite-temperature lattice QCD with shifted boundaries
• Renormalized Polyakov loop in the Fixed Scale Approach
• Towards the QCD equation of state at the physical point using Wilson fermion
• Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow
• Fixed scale approach to the equation of state on the lattice
• QCD thermodynamics with Wilson fermions
• Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification