# Finite Volume Effects and Quenched Chiral Logarithms

## TL;DR

This study investigates finite volume effects and quenched chiral logarithms in lattice QCD by measuring pion mass and chiral condensate, finding linear relationships and no evidence of expected singular behavior.

## Contribution

It provides new lattice measurements linking finite volume effects to chiral condensate behavior and challenges the expected quenched chiral logarithm singularities.

## Key findings

- Linear relationship between $m_{}^2$ and valence quark mass with non-zero intercept
- Finite volume effects are related to the intercept in the linear fit
- No evidence of quenched chiral logarithm singularities

## Abstract

We have measured the valence pion mass and the valence chiral condensate on lattice configurations generated with and without dynamical fermions. We find that our data and that of others is well represented by a linear relationship between $m_{\pi}^2$ and the valence quark mass, with a non-zero intercept. For our data, we relate the intercept to finite volume effects visible in the valence chiral condensate. We see no evidence for the singular behavior expected from quenched chiral logarithms.