Correlation Functions in The Itzykson-Zuber Model

Details Correlation Functions in The Itzykson-Zuber Model Correlation Functions in The Itzykson-Zuber Model

1992-09-22

arxiv.org/abs/hep-th/9209083v2

Commun.Math.Phys. 154 (1993) 421-432

Physics

High Energy Physics

High Energy Physics - Theory

13p., corrected TEX version, Preprint IASSNS-HEP-92/61

Scientific paper

10.1007/BF02097004

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.

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