Tau Functions and Matrix Integrals
نویسنده
چکیده
We consider solvable matrix models. We generalize Harish-Chandra-Itzykson-Zuber and certain other integrals (Gross-Witten integral and integrals over complex matrices) using the notion of tau function of matrix argument. In this case one can reduce matrix integral to the integral over eigenvalues, which in turn is certain tau function. The resulting tau functions may be analyzed either by the method of orthogonal polynomials or by Schur functions expansion method.
منابع مشابه
3 New solvable Matrix Integrals
We generalize the Harish-Chandra-Itzykson-Zuber and certain other integrals (Gross-Witten integral and integrals over complex matrices) using the notion of tau function of matrix argument. In this case one can reduce multi-matrix integrals to the integral over eigenvalues, which in turn is a certain tau function. We also consider a generalization of the Kontsevich integral.
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