Anisotropic lattice actions for heavy quark

Abstract

The anisotropic lattice fermion actions are investigated with the one-loop perturbative calculations aiming at constructing a formulation for heavy quark with controlled systematic uncertainties. For the heavy-light systems at rest the anisotropic lattice with small temporal lattice spacing $a_t$ suppresses the discretization error by a power of $a_t{m}_Q$ for a heavy quark of mass $m_Q$. We discuss the issue of large discretization errors, which scales as $a_s{m}_Q$ with $a_s$ the spatial lattice spacing. By performing one-loop calculations of the speed-of-light renormalization for several possible lattice actions in the limit of $a_t\to 0$, we show that one can eliminate the large systematic error on the anisotropic lattice.

32 pages, 7 figures

References in corpus (8)

• Charmonium Spectrum from Quenched Anisotropic Lattice QCD
• Relativistic Heavy Quarks on the Lattice
• Study of Charmonia near the deconfining transition on an anisotropic lattice with O(a) improved quark action
• 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
• Semileptonic B Decays from an NRQCD/D234 Action
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices

Cited by in corpus (10)

• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Dynamical QCD simulations on anisotropic lattices
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Heavy Quarks on the Lattice
• A Numerical Study of Improved Quark Actions on Anisotropic Lattices
• A non-perturbative study of the action parameters for anisotropic-lattice quarks
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• Quenched Charmed Meson Spectra using Tadpole Improved Quark Action on Anisotropic Lattices
• Topics in Lattice QCD and Effective Field Theory
• A perturbative determination of the parameters of an anisotropic quark action