Volume dependence of light hadron masses in full lattice QCD

TL;DR

This paper investigates how the masses of light hadrons in full lattice QCD depend on the volume of the lattice, finding an exponential relationship that aids in extrapolating to infinite volume.

Contribution

It provides a systematic study of finite-size effects on light hadron masses in full lattice QCD with Wilson fermions, informing volume extrapolation methods.

Findings

Light hadron masses depend exponentially on lattice size.

Simulation data supports exponential volume dependence.

Results help in extrapolating finite-volume data to infinite volume.

Abstract

The aim of the GRAL project is to simulate full QCD with standard Wilson fermions at light quark masses on small to medium-sized lattices and to obtain infinite-volume results by extrapolation. In order to establish the functional form of the volume dependence we study systematically the finite-size effects in the light hadron spectrum. We give an update on the status of the GRAL project and show that our simulation data for the light hadron masses depend exponentially on the lattice size.