A Numerical Study of Improved Quark Actions on Anisotropic Lattices

Abstract

Tadpole improved Wilson quark actions with clover terms on anisotropic lattices are studied numerically. Using asymmetric lattice volumes, the pseudo-scalar meson dispersion relations are measured for 8 lowest lattice momentum modes with quark mass values ranging from the strange to the charm quark with various values of the gauge coupling $\beta$ and 3 different values of the bare speed of light parameter $\nu$. These results can be utilized to extrapolate or interpolate to obtain the optimal value for the bare speed of light parameter ${\nu }_{opt}(m)$ at a given gauge coupling for all bare quark mass values $m$. In particular, the optimal values of $\nu$ at the physical strange and charm quark mass are given for various gauge couplings. The lattice action with these optimized parameters can then be used to study physical properties of hadrons involving either light or heavy quarks.

22 pages, 7 figures, 2 tables. Analysis greatly modified compared with previous version

References in corpus (12)

• Charmed baryons in lattice QCD
• Charmonium Spectrum from Quenched Anisotropic Lattice QCD
• Two Particle States in an Asymmetric Box and the Elastic Scattering Phases
• Negative-parity baryon spectra in quenched anisotropic lattice QCD
• Calculating the I=2 Pion Scattering Length Using Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
• Two Particle States in an Asymmetric Box
• Numerical study of O(a) improved Wilson quark action on anisotropic lattice
• O(a)-improved quark action on anisotropic lattices and perturbative renormalization of heavy-light currents
• Heavy quark action on the anisotropic lattice
• Two flavors of dynamical quarks on anisotropic lattices
• Tuning the Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
• Anisotropic lattice actions for heavy quark

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• Glueball spectrum from $N_f=2$ lattice QCD study on anisotropic lattices
• Lattice Study of Radiative $J/\psi$ Decay to a Tensor Glueball
• Hadron Scattering in an Asymmetric Box
• Strangeonium-like hybrids on the lattice
• Is $1^{-}+$ Meson a Hybrid?
• Color halo scenario of charmonium-like hybrids
• The radiative decay of scalar glueball from lattice QCD
• ${\eta }_c{\eta }_c$ and $J/\psi J/\psi$ scatterings from lattice QCD