Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories

Abstract

We introduce Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories.We show that they are equivalent to the ε-limit of the chiral Lagrangian for Wilson chiral perturbation theory.Results are obtained for two-color QCD with quarks in the fundamental representation of the color group as well as any-color QCD with quarks in the adjoint representation.For N c = 2 we also have obtained the lattice spacing dependence of the quenched average spectral density for a fixed value of the index of the Dirac operator.Comparisons with direct numerical simulations of the random matrix ensemble are shown.

Locations

• arXiv (Cornell University) - View - PDF
• Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) - View - PDF