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

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

1996-06-17

arxiv.org/abs/hep-th/9606099v2

Phys.Lett. B387 (1996) 139-144

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures, LaTeX + elsart.sty, elsart12.sty. A typo corrected

Scientific paper

10.1016/0370-2693(96)01006-4

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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