Finite Size Effects on the QCD Spectrum Revisited

TL;DR

This paper investigates finite size effects on the QCD spectrum using lattice simulations of various sizes, analyzing how these effects influence hadron mass ratios and exploring the impact of quark mass variations.

Contribution

The study extends previous work by increasing statistics and exploring additional quark masses and lattice sizes, providing new insights into finite size effects in lattice QCD.

Findings

Finite size effects are significant for smaller lattices.

Nucleon to rho mass ratio varies with quark mass and lattice size.

Results suggest finite volume corrections are important for accurate spectrum calculations.

Abstract

We have continued our study of finite size effects in the QCD spectrum on lattices ranging in size from $8^3\times 24$ to $16^3\times24$. We have increased our statistics for quark mass $am_q=0.025$ for the smallest lattice size. In addition, we have studied quark mass 0.0125 for lattice sizes $12^3\times24$ and $16^3\times24$. These lattice sizes correspond to a box 1.8--3.6 fm on a side when the rho mass at zero quark mass is used to set the scale. We discuss the nucleon to rho mass ratio at a smaller value of $m_\pi/m_\rho$ than previously studied with two dynamical flavors.