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 β and 3 different values of the bare speed of light parameter ν. These results can be utilized to extrapolate or interpolate to obtain the optimal value for the bare speed of light parameter ν opt (m) at a given gauge coupling for all bare quark mass values m. In particular, the optimal values of ν 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.

Low-energyD*+D¯10scattering and the resonancelike structureZ+Gao1, Gong2, Chen3 et al. 2009Phys. Rev. DSelf Cite443310View full textAdd to dashboardCite

“…The parameter is related to the bare gauge coupling, which controls the spatial lattice spacing a s in physical units. The fermion action used in this study is the tadpole improved clover Wilson action on anisotropic lattice whose fermion matrix is [24,25] …”

“…[27], together with the corresponding parameter u s ; the parameter c and ud has been obtained in Ref. [25]. Finally, the largest hopping parameter, max is chosen such that no exceptional gauge field configurations are encountered.…”

“…This has been done in Ref. [25], for several values of . In this study, we use the results of in Ref.…”

“…In this study, we use the results of in Ref. [25] as input parameters. Since we have get the value of EðkÞ in our calculation, we can fit the our data using Eq.…”

Scalar Glueball in RadiativeJ/ψDecay on the Lattice

“…For fermions we use the tadpole-improved clover action for anisotropic lattices [17]. The parameters in the action are tuned carefully by requiring that the physical dispersion relations of vector and pseudoscalar [18]. The bare charm quark masses at different are determined by the physical mass of J=c , m J=c ¼ 3:097 GeV.…”