O(a)-improved quark action on anisotropic lattices and perturbative renormalization of heavy-light currents

Abstract

We investigate the Symanzik improvement of the Wilson quark action on anisotropic lattices. Taking first a general action with nearest-neighbor and clover interactions, we study the mass dependence of the ratio of the hopping parameters, the clover coefficients, and an improvement coefficient for heavy-light vector and axial vector currents. We show how tree-level improvement can be achieved. For a particular choice of the spatial Wilson coupling, the results simplify, and $O(m_0{a}_{\tau })$ improvement is possible. (Here $m_0$ is the bare quark mass and $a_{\tau }$ the temporal lattice spacing.) With this choice we calculate the renormalization factors of heavy-light bilinear operators at one-loop order of perturbation theory employing the standard plaquette gauge action.

26 pages, 8 figures

References in corpus (2)

• Study of Charmonia near the deconfining transition on an anisotropic lattice with O(a) improved quark action
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices

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