Massive Overlap Fermions on Anisotropic Lattices

TL;DR

This paper develops a formulation for massive overlap fermions on anisotropic lattices, demonstrating continuum-like dispersion relations and calculating key renormalization constants, with implications for heavy-light hadron spectroscopy.

Contribution

It introduces a new formulation of massive overlap fermions on anisotropic lattices and provides one-loop calculations of self-energy and renormalization constants.

Findings

Dispersion relation resembles continuum form at low momentum

One-loop quark self-energy and field renormalization constants calculated

Potential application to heavy-light hadron spectroscopy

Abstract

We formulate the massive overlap fermions on anisotropic lattices. We find that the dispersion relation for the overlap fermion resembles the continuum form in the low-momentum region once the bare parameters are properly tuned. The quark self-energy and the quark field renormalization constants are calculated to one-loop in bare lattice perturbation theory. We argue that massive domain wall quarks might be helpful in lattice QCD studies on heavy-light hadron spectroscopy.