Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit
Nishigaki, S.
Original · EN
We prove the universality of correlation functions of chiral complex matrix models in the microscopic limit (N->∞, 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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