Improved Actions for QCD Thermodynamics on the Lattice

Abstract

Finite cut-off effects strongly influence the thermodynamics of lattice regularized QCD at high temperature in the standard Wilson formulation. We analyze the reduction of finite cut-off effects in formulations of the thermodynamics of $SU(N)$ gauge theories with three different $O(a^2)$ and $O(a^4)$ improved actions. We calculate the energy density and pressure on finite lattices in leading order weak coupling perturbation theory ($T\to \infty$) and perform Monte Carlo simulations with improved $SU(3)$ actions at non-zero $g^2$. Already on lattices with temporal extent $N_{\tau }=4$ we find a strong reduction of finite cut-off effects in the high temperature limit, which persists also down to temperatures a few times the deconfinement transition temperature.

20 pages, 3 Postscript figures

References in corpus (10)

• Improved Nonrelativistic QCD for Heavy Quark Physics
• Perfect lattice action for asymptotically free theories
• Equation of State for the SU(3) Gauge Theory
• The classically perfect fixed point action for SU(3) gauge theory
• Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory
• Instantons from over-improved cooling
• Non--perturbative tests of the fixed point action for SU(3) gauge theory
• The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD
• The SU(3) deconfining phase transition with Symanzik action
• Scaling, asymptotic scaling and Symanzik improvement. Deconfinement temperature in SU(2) pure gauge theory

Cited by in corpus (28)

• Thermodynamics of SU(3) Lattice Gauge Theory
• The Pressure in 2, 2+1 and 3 Flavour QCD
• Precision SU(3) lattice thermodynamics for a large temperature range
• The QCD equation of state from the lattice
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• Lattice QCD at Finite Temperature and Density
• Infinite temperature limit of meson spectral functions calculated on the lattice
• Equation of State in 2+1 Flavor QCD at High Temperatures
• Determination of Anisotropy Coefficients for SU(3) Gauge Actions from the Integral and Matching Methods
• Thermodynamics of Four-Flavour QCD with Improved Staggered Fermions
• SU(3) Latent Heat and Surface Tension from Tree Level and Tadpole Improved Actions
• Improved Staggered Fermion Actions for QCD Thermodynamics
• The Gluon Propagator at High Temperature: Screening, Improvement and Non-Zero Momenta
• Finite-Temperature QCD on the Lattice
• QCD Thermodynamics with an Improved Lattice Action
• New fixed point action for SU(3) lattice gauge theory
• The Stefan-Boltzmann law in a small box and the pressure deficit in hot SU(N) lattice gauge theory
• Gauge action improvement and smearing
• Finite Volume Effects in Thermal Field Theory
• Improved thermodynamics of SU(2) gauge theory
• Cutoff Effects on Energy-Momentum Tensor Correlators in Lattice Gauge Theory
• On QCD Thermodynamics with Improved Actions
• Anti-Ferromagnetic Condensate in Yang-Mills Theory
• Direct determination of the gauge coupling derivatives for the energy density in lattice QCD
• QCD Thermodynamics with Improved Actions
• Improved actions and asymptotic scaling in lattice Yang-Mills theory
• SU(3) surface tension from the lattice with the fixed point action
• Fixed point actions in SU(3) gauge theory: surface tension and topology