Two-current correlations in the pion on the lattice

TL;DR

This study uses lattice QCD to analyze two-current correlations in the pion, comparing results with chiral perturbation theory and exploring quark mass effects and internal correlations.

Contribution

It provides a systematic lattice QCD analysis of two-current correlations in the pion, including quark mass dependence and comparison with theoretical predictions.

Findings

Good signals for most Wick contractions obtained

Quark mass dependence characterized

Correlations between quark and antiquark examined

Abstract

We perform a systematic study of the correlation functions of two quark currents in a pion using lattice QCD. We obtain good signals for all but one of the relevant Wick contractions of quark fields. We investigate the quark mass dependence of our results and test the importance of correlations between the quark and the antiquark in the pion. Our lattice data are compared with predictions from chiral perturbation theory.