Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-09-03
Phys. Rev. Lett. 108, 022001 (2012)
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages, 6 figures, PACS: 12.38.Gc, 05.50.+q, 02.10.Yn, 11.15.Ha
Scientific paper
10.1103/PhysRevLett.108.022001
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.
Kieburg Mario
Verbaarschot Jacobus J. M.
Zafeiropoulos Savvas
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