Meson Correlation Functions in the epsilon-Regime

TL;DR

This paper reports a numerical study of meson correlation functions in the epsilon-regime of chiral perturbation theory using overlap fermions, providing insights into low energy constants in the chiral Lagrangian.

Contribution

It introduces a pilot numerical approach to measure meson correlation functions in the epsilon-regime with overlap fermions, advancing understanding of low energy constants.

Findings

Measured axial and pseudo-scalar correlation functions

Discussed implications for low energy constants

Validated the use of overlap fermions in this regime

Abstract

We present a numerical pilot study of the meson correlation functions in the epsilon-regime of chiral perturbation theory. Based on simulations with overlap fermions we measured the axial and pseudo-scalar correlation functions, and we discuss the implications for the leading low energy constants in the chiral Lagrangian.