Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories
High Energy Physics - Lattice
2013-03-14 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We introduce Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories. We show that they are equivalent to the -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 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.
Keywords
Cite
@article{arxiv.1303.3242,
title = {Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories},
author = {Mario Kieburg and Jacobus J. M. Verbaarschot and Savvas Zafeiropoulos},
journal= {arXiv preprint arXiv:1303.3242},
year = {2013}
}
Comments
Figures 3 and 4 changed with respect to the published version