1992/09/26 by Samson L. Shatashvili · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Mathematical functions and polynomials #Random Matrices and Applications #hep-th
paper · pdf · doi:10.1007/bf02097004
published as Commun.Math.Phys. 154 (1993) 421-432 · 13p., corrected TEX version, Preprint IASSNS-HEP-92/61
arxiv created 1992/09/26 · openalex publication_date 1993/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
The n-point function for the integral over unitary matrices with Itzykson-Zuber measure is reduced to the integral over Gelfand-Tzetlin table; integrand (for generic n) is given by linear exponential times rational function. For n=2 and in some cases for n>2 later in fact is the polinomial and this allows to give an explicit and simple expression for all 2-point and a set of n-point functions. For the most general n-point function a simple linear differential equation is constructed.