Vector and Axial-Vector Propagators in the \epsilon-Regime of QCD

TL;DR

This paper computes vector and axial current two-point functions in the psilon-regime of QCD using chiral perturbation theory, enabling parameter extraction from lattice data.

Contribution

It provides analytical expressions for two-point functions in the psilon-regime, facilitating comparison with lattice QCD to determine chiral Lagrangian parameters.

Findings

Derived explicit formulas for current correlators in the psilon-regime.

Demonstrated how to extract chiral Lagrangian parameters from lattice data.

Bridged theoretical predictions with lattice QCD results.

Abstract

Using quenched and unquenched chiral perturbation theory we compute vector and axial current two-point functions at finite volume and fixed gauge field topology, in the so-called \epsilon-regime of QCD. A comparison of these results with finite volume lattice calculations allows to determine the parameters of the corresponding chiral Lagrangians.