Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator

Mario Kieburg, Jacobus J. M. Verbaarschot, and Savvas Zafeiropoulos
Phys. Rev. Lett. 108, 022001 – Published 11 January 2012

Abstract

We find the lattice spacing dependence of the eigenvalue density of the non-Hermitian Wilson Dirac operator in the ϵ domain. The starting point is the joint probability density of the corresponding random matrix theory. In addition to the density of the complex eigenvalues we also obtain the density of the real eigenvalues separately for positive and negative chiralities as well as an explicit analytical expression for the number of additional real modes.

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  • Received 3 September 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.022001

© 2012 American Physical Society

Authors & Affiliations

Mario Kieburg, Jacobus J. M. Verbaarschot, and Savvas Zafeiropoulos

  • Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, New York 11794-3800, USA

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Issue

Vol. 108, Iss. 2 — 13 January 2012

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