1109.0656 (Mario Kieburg et al.)

Eigenvalue Density of the non-Hermitian Wilson Dirac Operator    [PDF]

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

We find the lattice spacing dependence of the eigenvalue density of the
non-Hermitian Wilson Dirac operator in the $\epsilon$-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.

View original: http://arxiv.org/abs/1109.0656