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arXiv · hep-th/9606099

Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit

S. Nishigaki
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Abstract

We prove the universality of correlation functions of chiral complex matrix models in the microscopic limit (N->\infty, z->0, N z=fixed) which magnifies the crossover region around the origin of the eigenvalue distribution. The proof exploits the fact that the three-term difference equation for orthogonal polynomials reduces into a universal second-order differential (Bessel) equation in the microscopic limit.

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S. Nishigaki. 1997-01-22. Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit. https://doi.org/10.1016/0370-2693(96)01006-4

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