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

Preprint

22 January 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9606099

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.

Keywords

DIFFERENCE EQUATION
MICROSCOPIC LIMIT
MATRIX MODELS
CHIRAL MATRIX
BESSEL KERNEL
UNIVERSALITY
EIGENVALUE
EQUATION

All Related Versions

Version 1, 1996-06-17, ArXiv
Version 2, 1997-01-22, ArXiv
Published version: Physics Letters B, 387 (1), 139.

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