Eigenvalue Density of the non-Hermitian Wilson Dirac Operator
High Energy Physics - Lattice
2012-02-09 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We find the lattice spacing dependence of the eigenvalue density of the non-Hermitian Wilson Dirac operator in the -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.
Cite
@article{arxiv.1109.0656,
title = {Eigenvalue Density of the non-Hermitian Wilson Dirac Operator},
author = {Mario Kieburg and Jacobus J. M. Verbaarschot and Savvas Zafeiropoulos},
journal= {arXiv preprint arXiv:1109.0656},
year = {2012}
}
Comments
4 pages, 6 figures, PACS: 12.38.Gc, 05.50.+q, 02.10.Yn, 11.15.Ha