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arXiv · 1303.3242

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

Mario Kieburg·Jacobus J. M. Verbaarschot·Savvas Zafeiropoulos
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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.

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Mario Kieburg, Jacobus J. M. Verbaarschot, Savvas Zafeiropoulos. 2013-03-13. Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories. https://arxiv.org/abs/1303.3242

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