Relativistic heavy quarks on the lattice

TL;DR

This paper explores relativistic methods for heavy quark physics on lattices, finding anisotropic lattices less advantageous and proposing a new approach for isotropic lattices to improve accuracy.

Contribution

The paper introduces a novel relativistic approach for heavy quarks on isotropic lattices, challenging previous assumptions about anisotropic lattice benefits.

Findings

Anisotropic lattices are not superior to isotropic ones for controlling $m_Q a$ errors.

A new relativistic method for heavy quarks on isotropic lattices is proposed.

Perturbative calculations support the feasibility of the new approach.

Abstract

We investigate feasibility of relativistic approaches to the heavy quark physics on both anisotropic and isotropic lattices. Our peturbative calculation reveals that the anisotropic lattice is not theoretically adovantageous over the isotropic one to control $m_Q a$ errors. We instead propose a new relativistic approach to handle heavy quarks on the isotropic lattice.