The Microscopic Twisted Mass Dirac Spectrum

TL;DR

This paper calculates the microscopic spectral density of the Dirac operator in lattice QCD with twisted mass, incorporating discretization effects through Wilson chiral perturbation theory.

Contribution

It provides the first computation of the microscopic spectral density including leading order lattice artifacts for maximally twisted mass QCD.

Findings

Derived the spectral density at fixed Dirac index.

Included leading order $a^2$ discretization corrections.

Used Wilson chiral perturbation theory framework.

Abstract

The microscopic spectral density for lattice QCD with two flavors and maximally twisted mass is computed. The results are given for fixed index of the Dirac operator and include the leading order $a^2$ corrections to the chiral Lagrangian due to the discretization errors. The computation is carried out within the framework of Wilson chiral perturbation theory.