Volume dependences from lattice chiral perturbation theory

TL;DR

This paper investigates how finite volume effects influence pion properties using lattice regularized chiral perturbation theory, providing a computational method for volume dependence analysis at one-loop level.

Contribution

It introduces a lattice regularization approach for chiral perturbation theory to compute finite volume effects on pion observables numerically.

Findings

Numerical results for volume dependence of pion mass, decay constant, form factor, and charge radius.

The approach simplifies calculations compared to analytical continuum methods.

Provides a practical computational framework for finite volume studies in lattice QCD.

Abstract

The physics of pions within a finite volume is explored using lattice regularized chiral perturbation theory. This regularization scheme permits a straightforward computational approach to be used in place of analytical continuum techniques. Using the pion mass, decay constant, form factor and charge radius as examples, it is shown how numerical results for volume dependences are obtained at the one-loop level from simple summations.