The solution of a chiral random matrix model with complex eigenvalues

Akemann G (2003)
J.Phys.A 36(12): 3363-3378.

Journal Article | Published | English

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Abstract
We describe in detail the solution of the extension of the chiral GaussianUnitary Ensemble (chGUE) into the complex plane. The correlation functions ofthe model are first calculated for a finite number of N complex eigenvalues,where we exploit the existence of orthogonal Laguerre polynomials in thecomplex plane. When taking the large-N limit we derive new correlationfunctions in the case of weak and strong non-Hermiticity, thus describing thetransition from the chGUE to a generalized Ginibre ensemble. Applications tothe Dirac operator eigenvalue spectrum in QCD with non-vanishing chemicalpotential are briefly discussed. This is an extended version ofarXiv:hep-th/0204068.
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Akemann G. The solution of a chiral random matrix model with complex eigenvalues. J.Phys.A. 2003;36(12):3363-3378.
Akemann, G. (2003). The solution of a chiral random matrix model with complex eigenvalues. J.Phys.A, 36(12), 3363-3378.
Akemann, G. (2003). The solution of a chiral random matrix model with complex eigenvalues. J.Phys.A 36, 3363-3378.
Akemann, G., 2003. The solution of a chiral random matrix model with complex eigenvalues. J.Phys.A, 36(12), p 3363-3378.
G. Akemann, “The solution of a chiral random matrix model with complex eigenvalues”, J.Phys.A, vol. 36, 2003, pp. 3363-3378.
Akemann, G.: The solution of a chiral random matrix model with complex eigenvalues. J.Phys.A. 36, 3363-3378 (2003).
Akemann, Gernot. “The solution of a chiral random matrix model with complex eigenvalues”. J.Phys.A 36.12 (2003): 3363-3378.
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