SU(3) Thermodynamics on Small Lattices

Abstract

The free energy density of the SU(3) gauge theory at temperatures T/T_c = 4/3, 3/2 and 2 is calculated on lattices with temporal extent as small as N_t = 2, 3 and spatial extent N_s = 4 N_t using parametrized fixed point actions. Although cut-off effects are seen, they are hugely suppressed with respect to Wilson and Symanzik-improved actions and at N_t = 3 there is already a good agreement with the continuum limit as extrapolated from the results with the Wilson action at N_t = 6 and 8.

19 pages (latex text + 6 eps figures) in a uuencoded compressed tar file

References in corpus (9)

• Thermodynamics of SU(3) Lattice Gauge Theory
• On the Viability of Lattice Perturbation Theory
• The Three-Loop Free Energy for Pure Gauge QCD
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• Equation of State for the SU(3) Gauge Theory
• The classically perfect fixed point action for SU(3) gauge theory
• Scaling Study of Pure Gauge Lattice QCD by Monte Carlo Renormalization Group Method
• The absence of cut--off effects for the fixed point action in 1--loop perturbation theory
• Lattice Regularized QCD at Finite Temperature

Cited by in corpus (26)

• The pressure of hot QCD up to g^6 ln(1/g)
• The Pressure in 2, 2+1 and 3 Flavour QCD
• Lattice QCD without tuning, mixing and current renormalization
• Precision SU(3) lattice thermodynamics for a large temperature range
• Prospects for perfect actions
• The QCD equation of state from the lattice
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• How to resum long-distance contributions to the QCD pressure?
• Lattice QCD at Finite Temperature and Density
• 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
• Phases of Gauge Theories
• Fixed-Point Actions in 1-Loop Perturbation Theory
• On QCD Thermodynamics with Improved Actions
• Properties of the Fixed Point Lattice Dirac Operator in the Schwinger Model
• Perfect Scalars on the Lattice
• 3-d Lattice QCD Free Energy to Four Loops
• The fixed point action for the Schwinger model: a perturbative approach
• Thermodynamics of the two--dimensional O(3) non linear sigma model with Fixed-Point lattice action
• Instanton classical solutions of SU(3) fixed point actions on open lattices
• Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g**6-terms
• SU(3) surface tension from the lattice with the fixed point action
• Four loop stochastic perturbation theory in 3d SU(3)
• The fixed point action of the Schwinger model
• Fixed point actions in SU(3) gauge theory: surface tension and topology