Finite volume effects in chiral perturbation theory

TL;DR

This paper reviews recent advances in understanding finite volume effects in chiral perturbation theory, emphasizing the importance of higher-order calculations and asymptotic formulas in different regimes.

Contribution

It highlights the significance of going beyond leading order in chiral perturbation theory and combining asymptotic formulas with CHPT for finite volume effects.

Findings

Finite volume effects studied in epsilon- and p-regimes.

Higher-order calculations are crucial for accurate results.

Asymptotic formulas complement CHPT in finite volume analysis.

Abstract

There has recently been an intense activity in the study of finite volume effects by means of chiral perturbation theory. In this contribution I review recent work in this field both for the epsilon-- (Mpi L \lesssim 1) and the p--regime (Mpi L \gg 1). For the latter I emphasize the importance of going beyond leading order calculations in chiral perturbation theory and the usefulness of asymptotic formulae a la L"uscher used in combination with CHPT.