Finite-volume corrections to low-energy constants from the partially quenched effective theory

TL;DR

This paper computes finite-volume effects on key low-energy constants in QCD's epsilon-regime using partially quenched chiral perturbation theory, providing guidance for lattice simulation accuracy.

Contribution

It introduces a method to calculate finite-volume corrections to low-energy constants in the partially quenched effective theory without a singlet particle.

Findings

Finite-volume corrections to $$ and $$ are quantified.

Strategies to minimize finite-volume effects in lattice QCD are discussed.

Abstract

We calculate finite-volume corrections to the low-energy constants $\Sigma$ and $F$ in the epsilon-regime of QCD using partially quenched chiral perturbation theory in the supersymmetry formulation without a singlet particle. We comment on how to minimize these corrections in lattice simulations of QCD.