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dc.contributor.authorAkemann, G-
dc.contributor.authorBittner, E-
dc.contributor.authorPhillips, MJ-
dc.contributor.authorShifrin, L-
dc.identifier.citationPhysical Review E. 80: 065201(R)en
dc.description.abstractWe 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. New 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 new results can describe data from two-colour QCD simulations with chemical potential in the symplectic class.en
dc.format.extent1264633 bytes-
dc.publisherAmerican physical societyen
dc.subjectRandom matrix theoryen
dc.subjectLattice gauge theoryen
dc.titleWigner surmise for Hermitian and non-Hermitian Chiral random matricesen
dc.typeResearch Paperen
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers

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