Eigenvalue density of the non-Hermitian Wilson Dirac operator.

Phys Rev Lett

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

Published: January 2012

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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http://dx.doi.org/10.1103/PhysRevLett.108.022001DOI Listing

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