Abstract
Then-point function for the integral over unitary matrices with Itzykson-Zuber measure is reduced to the integral over the Gelfand-Tzetlin table; the integrand (for genericn) is given by linear exponential times the rational function. Forn=2 and in some cases forn>2 later in fast is the polynomial and this allows to give an explicit and simple expression for all 2-point and a set ofn-point functions. For the most generaln-point function a simple linear differential equation is constructed.
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Communicated by N. Yu. Reshetikhin
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Shatashvili, S.L. Correlation functions in the Itzykson-Zuber model. Commun.Math. Phys. 154, 421–432 (1993). https://doi.org/10.1007/BF02097004
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DOI: https://doi.org/10.1007/BF02097004