Towards the continuum limit with quenched staggered quarks

TL;DR

This paper investigates finite-size effects in quenched staggered quark simulations, extrapolates to the continuum limit, and finds nucleon to rho mass ratios aligning with experimental data and Wilson quark results.

Contribution

It extends previous finite-size effect studies to the quenched approximation and demonstrates continuum limit extrapolation aligning with experimental and Wilson quark results.

Findings

Nucleon to rho mass ratio close to experimental value

Continuum limit extrapolation consistent with Wilson quarks

Finite-size effects analyzed for spectrum calculations

Abstract

We extend previous work on finite-size effects with dynamical staggered quarks to the quenched approximation. We again emphasize the large volume limit that is of interest for spectrum calculations which may hope to approach the experimental values. Relying on new calculations at $6/g^2=5.7$ and recent work with weaker couplings, we extrapolate to the continuum limit and find a nucleon to rho mass ratio in close agreement with the experimental value and the value obtained by extrapolations from calculations with Wilson quarks. Additional calculations that should be done to improve the reliability of the extrapolation are discussed.