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• W2019083359 abstract "We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral random matrix theory, for both real and complex eigenvalues. Testing against known results for zero and maximal non-Hermiticity in the microscopic large-$N$ limit, we find an excellent agreement valid for a small number of exact zero eigenvalues. Compact expressions are derived for real eigenvalues in the orthogonal and symplectic classes and at intermediate non-Hermiticity for the unitary and symplectic classes. Such individual Dirac eigenvalue distributions are a useful tool in lattice gauge theory, and we illustrate this by showing that our results can describe data from two-color quantum chromodynamics simulations with chemical potential in the symplectic class." @default.
• W2019083359 created "2016-06-24" @default.
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• W2019083359 date "2009-12-03" @default.
• W2019083359 modified "2023-09-26" @default.
• W2019083359 title "Wigner surmise for Hermitian and non-Hermitian chiral random matrices" @default.
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• W2019083359 doi "https://doi.org/10.1103/physreve.80.065201" @default.
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