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Title: The solution of a chiral random matrix model with complex eigenvalues
Authors: Akemann, G
Keywords: High Energy Physics - Theory;Chaotic dynamics
Issue Date: 2002
Publisher: Institute of Physics
Citation: J.Phys. A36: 3363
Abstract: We describe in detail the solution of the extension of the chiral Gaussian unitary ensemble (chGUE) into the complex plane. The correlation functions of the model are first calculated for a finite number of N complex eigenvalues, where we exploit the existence of orthogonal Laguerre polynomials in the complex plane. When taking the large-N limit we derive new correlation functions in the case of weak and strong non-Hermiticity, thus describing the transition from the chGUE to a generalized Ginibre ensemble. We briefly discuss applications to the Dirac operator eigenvalue spectrum in quantum chromodynamics with non-vanishing chemical potential.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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