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Eigenvalue Density of the non-Hermitian Wilson Dirac Operator · Around

2011

Eigenvalue Density of the non-Hermitian Wilson Dirac Operator

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

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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.

Built on

E. V. Shuryak, J. J. M. Verbaarschot, Nucl. Phys. A560
1993
Earlier work this paper cites.
Y. V. Fyodorov, H. J. Sommers, JETP LETTERS 63
1996
Earlier work this paper cites.
G. Akemann, P. H. Damgaard, U. Magnea, S. Nishigaki, Nucl. Phys. B487
1997
Earlier work this paper cites.
E. Gudowska-Nowak, G. Papp, J. Brickmann, Chem. Phys. 232
1998
Earlier work this paper cites.
S. R. Sharpe and R. L. Singleton, Phys. Rev. D 58
1998
Earlier work this paper cites.
G. Rupak and N. Shoresh, Phys. Rev. 66
2002
Earlier work this paper cites.
K. Splittorff, J. J. M. Verbaarschot, Nucl. Phys. B683
2004
Earlier work this paper cites.

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