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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. |
URI: | http://bura.brunel.ac.uk/handle/2438/463 |
DOI: | http://dx.doi.org/10.1088/0305-4470/36/12/328 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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The solution of a chiral.pdf | 294.59 kB | Adobe PDF | View/Open |
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