Universality of random matrices in the microscopic limit and the Dirac operator spectrum

Akemann G, Damgaard PH, Magnea U, Nishigaki S (1997)
Nucl.Phys. B 487(3): 721-738.

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We prove the universality of correlation functions of chiral unitary andunitary ensembles of random matrices in the microscopic limit. The essence ofthe proof consists in reducing the three-term recursion relation for therelevant orthogonal polynomials into a Bessel equation governing the localasymptotics around the origin. The possible physical interpretation as theuniversality of soft spectrum of the Dirac operator is briefly discussed.
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Akemann G, Damgaard PH, Magnea U, Nishigaki S. Universality of random matrices in the microscopic limit and the Dirac operator spectrum. Nucl.Phys. B. 1997;487(3):721-738.
Akemann, G., Damgaard, P. H., Magnea, U., & Nishigaki, S. (1997). Universality of random matrices in the microscopic limit and the Dirac operator spectrum. Nucl.Phys. B, 487(3), 721-738.
Akemann, G., Damgaard, P. H., Magnea, U., and Nishigaki, S. (1997). Universality of random matrices in the microscopic limit and the Dirac operator spectrum. Nucl.Phys. B 487, 721-738.
Akemann, G., et al., 1997. Universality of random matrices in the microscopic limit and the Dirac operator spectrum. Nucl.Phys. B, 487(3), p 721-738.
G. Akemann, et al., “Universality of random matrices in the microscopic limit and the Dirac operator spectrum”, Nucl.Phys. B, vol. 487, 1997, pp. 721-738.
Akemann, G., Damgaard, P.H., Magnea, U., Nishigaki, S.: Universality of random matrices in the microscopic limit and the Dirac operator spectrum. Nucl.Phys. B. 487, 721-738 (1997).
Akemann, Gernot, Damgaard, P. H., Magnea, U., and Nishigaki, S. “Universality of random matrices in the microscopic limit and the Dirac operator spectrum”. Nucl.Phys. B 487.3 (1997): 721-738.
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