On the spectral density of the Wilson operator

TL;DR

This paper summarizes recent work on calculating the spectral density of the Wilson operator within Wilson chiral perturbation theory, discussing its validity and potential extensions near the spectral threshold.

Contribution

It provides a new determination of the spectral density of the Wilson operator in the p-regime and explores its applicability and possible improvements.

Findings

Determined the spectral density of the Wilson operator in the p-regime.

Analyzed the validity range of the current formula.

Suggested extensions for better understanding near the spectral threshold.

Abstract

We summarize our recent determination [1] of the spectral density of the Wilson operator in the p-regime of Wilson chiral perturbation theory. We discuss the range of validity of our formula and a possible extension to our computation in order to better understand the behaviour of the spectral density in a finite volume close to the threshold.