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Correlation Functions in The Itzykson-Zuber Model

Samson L. Shatashvili
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Abstract

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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Samson L. Shatashvili. 1992-09-26. Correlation Functions in The Itzykson-Zuber Model. https://doi.org/10.1007/bf02097004

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