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An Operator Formalism For Unitary Matrix Models, Konstantinos N. Anagnostopoulos, Mark Bowick, N. Ishibashi

Physics - All Scholarship

We analyze the double scaling limit of unitary matrix models in terms of trigonometric orthogonal polynomials on the circle. In particular we find a compact formulation of the string equation at the k th multicritical point in terms of pseudo-differential operators and a corresponding action principle. We also relate this approach to the mKdV hierarchy which appears in the analysis in terms of conventional orthogonal polynomials on the circle.