The Quenched Continuum Limit

TL;DR

This paper demonstrates that various lattice QCD quark formalisms converge consistently in the quenched continuum limit, improving extrapolation methods and understanding of systematic errors.

Contribution

It introduces an improved constrained fit method that accounts for both leading and sub-leading lattice spacing dependencies in continuum extrapolations.

Findings

All current formalisms are consistent in the quenched continuum limit.

Enhanced extrapolation techniques reduce systematic errors.

Better understanding of lattice artifacts in quenched QCD.

Abstract

We show that all current formalisms for quarks in lattice QCD are consistent in the quenched continuum limit, as they should be. We improve on previous extrapolations to this limit, and the understanding of lattice systematic errors there, by using a constrained fit including both leading and sub-leading dependence on a.