The solution of a chiral random matrix model with complex eigenvalues

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dc.creatorAkemann, G.
dc.date2002-04-29
dc.date.accessioned2026-07-07T10:49:22Z
dc.date.available2026-07-07T10:49:22Z
dc.descriptionWe 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. Applications to the Dirac operator eigenvalue spectrum in QCD with non-vanishing chemical potential are briefly discussed. This is an extended version of arXiv:hep-th/0204068.
dc.description17 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0204246
dc.identifierhttp://arxiv.org/abs/hep-th/0204246
dc.identifierJ.Phys.A36:3363,2003
dc.identifierdoi:10.1088/0305-4470/36/12/328
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184196
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectChaotic Dynamics
dc.titleThe solution of a chiral random matrix model with complex eigenvalues
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