A scaling study of the step scaling function in SU(3) gauge theory with improved gauge actions

Abstract

We study the scaling behavior of the step scaling function for SU(3) gauge theory, employing the renormalization-group improved Iwasaki gauge action and the perturbatively improved Lüscher-Weisz gauge action. We confirm that the step scaling functions from the improved gauge actions agree with that previously obtained from the plaquette action within errors in the continuum limit at both weak and strong coupling regions. We also investigate how different choices of boundary counter terms for the improved gauge actions affect the scaling behavior. In the extrapolation to the continuum limit, we observe that the cut off dependence becomes moderate for the Iwasaki action, if a perturbative reduction of scaling violations is applied to the simulation results. We also measure the low energy scale ratio with the Iwasaki action, and confirm its universality.

arXiv comment14 pages

References in corpus (21)

• 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
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Non-perturbative O(a) improvement of lattice QCD
• The Nf=0 heavy quark potential from short to intermediate distances
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• Non-perturbative quark mass renormalization in quenched lattice QCD
• Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
• Precision computation of a low-energy reference scale in quenched lattice QCD
• On the Schroedinger functional in QCD
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• O(a) improvement of lattice QCD with two flavors of Wilson quarks
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• Universality and the approach to the continuum limit in lattice gauge theory
• First results on the running coupling in QCD with two massless flavours
• Computation of the improvement coefficient $c_{\mathrm{sw}}$ to 1-loop with improved gluon actions
• Hadron masses and matrix elements from the QCD Schr"odinger functional
• Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks
• A perturbative determination of O(a) boundary improvement coefficients for the Schrödinger Functional coupling at 1-loop with improved gauge actions
• The Schrödinger Functional for Improved Gluon and Quark Actions
• Recent results on the running coupling in QCD with two massless flavours
• Non-Perturbative Determination of $c_{\mathrm{SW}}$ in Three-flavor Dynamical QCD

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