Universality and scaling behavior of RG gauge actions

Abstract

We study universality and scaling properties of RG gauge actions (Iwasaki and DBW2). In the first part we consider the critical temperature T_{c} and compute the reference energy scale r_{0} for critical couplings β_{c} corresponding to N_{t}=3,4,6,8. The universality of T_{c}r_{0} between Iwasaki and Wilson action is confirmed and the scaling behavior of the Iwasaki action is found to be better than the one for the Wilson action. The results for the DBW2 action show larger lattice artefacts. A continuum value T_{c}r_{0}=0.7498(50) is extracted. We compute also the glueball masses for the states 0^{++} and 2^{++}, investigate the scaling of m_{0^{++}}r_{0} and m_{2^{++}}r_{0} and point out practical problems which are due to the violation of positivity present in the RG actions.

arXiv comment36 pages

References in corpus (18)

• Thermodynamics of SU(3) Lattice Gauge Theory
• The glueball spectrum from an anisotropic lattice study
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• A comprehensive lattice study of SU(3) glueballs
• The Nf=0 heavy quark potential from short to intermediate distances
• Perfect lattice action for asymptotically free theories
• Precision computation of a low-energy reference scale in quenched lattice QCD
• Locality and exponential error reduction in numerical lattice gauge theory
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• Glueball Mass Predictions of the Valence Approximation to Lattice QCD
• Testing perturbation theory on the nf=0 static quark potential
• Improving the Chiral Properties of Lattice Fermions
• String Tension and Thermodynamics with Tree Level and Tadpole Improved Actions
• Fixed Point Gauge Actions with Fat Links: Scaling and Glueballs
• Locality and Statistical Error Reduction on Correlation Functions
• Thermal Phase Transition in Mixed Action SU(3) Lattice Gauge Theory and Wilson Fermion Thermodynamics
• Search for Effective Lattice Action of Pure QCD

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