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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/3658

Title: Wigner surmise for Hermitian and non-Hermitian Chiral random matrices
Authors: Akemann, G
Bittner, E
Phillips, MJ
Shifrin, L
Keywords: Random matrix theory
Lattice gauge theory
Publication Date: 2009
Publisher: American physical society
Citation: Physical Review E. 80: 065201(R)
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. 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.
URI: http://bura.brunel.ac.uk/handle/2438/3658
http://link.aps.org/doi/10.1103/PhysRevE.80.065201
DOI: http://dx.doi.org/10.1103/PhysRevE.80.065201
ISSN: 1539-3755
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers

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