The complete lowest order chiral Lagrangian from a little box

TL;DR

This paper refines the determination of the leading order chiral Lagrangian parameters using eigenvalue distributions of a quenched Dirac operator with an imaginary isospin chemical potential, building on previous work.

Contribution

It provides an updated analysis and addresses discussions from a recent conference, enhancing the methodology for extracting chiral Lagrangian parameters.

Findings

Parameters of the leading order chiral Lagrangian determined from eigenvalue distributions

Improved understanding of the effects of imaginary isospin chemical potential

Clarification of methodological points raised in recent discussions

Abstract

We recently performed a pilot study determining the parameters of the leading order chiral Lagrangian from distributions of the eigenvalues of a quenched Dirac operator coupled to an imaginary isospin chemical potential. We complement a quick survey of our recent preprint arXiv:0708.1731 [hep-lat] by addressing some points raised during discussions at the conference.