Parameters of the lowest order chiral Lagrangian from fermion eigenvalues

TL;DR

This paper explores using Random Matrix Theory to determine the pseudoscalar decay constant by analyzing eigenmodes of fermions under an imaginary isospin chemical potential, tested through simulations with dynamical overlap fermions.

Contribution

It provides a pilot test of a novel method to extract physical constants from fermion eigenvalues using Random Matrix Theory and dynamical overlap fermion simulations.

Findings

Successful application of the method in a simulation setting

Potential for precise determination of decay constants

Validation of theoretical predictions with numerical data

Abstract

Recent advances in Random Matrix Theory enable one to determine the pseudoscalar decay constant from the response of eigenmodes of quenched fermions to an imaginary isospin chemical potential. We perform a pilot test of this idea, from simulations with two flavors of dynamical overlap fermions.