Finite-size Scaling of Meson Propagators

TL;DR

This paper derives analytical predictions for meson propagators in finite-volume lattice QCD, enabling the extraction of low-energy constants from small-volume simulations using quenched and unquenched chiral perturbation theory.

Contribution

It provides the first detailed finite-size scaling formulas for meson correlators at fixed topology in both quenched and unquenched chiral perturbation theory.

Findings

Analytical expressions for meson correlation functions at finite volume and fixed topology.

Guidelines for extracting chiral Lagrangian parameters from small-volume lattice data.

Extension of results to unquenched theories at fixed topology.

Abstract

Using quenched chiral perturbation theory we compute meson correlation functions at finite volume and fixed gauge field topology. We also present the corresponding analytical predictions for the unquenched theory at fixed gauge field topology. These results can be used to measure the low-energy parameters of the chiral Langrangian from lattice simulations in volumes much smaller than one pion Compton wavelength.