Title

An Operator Formalism for Unitary Matrix Models

Author(s)/Creator(s)

Konstantinos N. Anagnostopoulos, University of California, Institute for Theoretical Physics ; Syracuse University, Physics DepartmentFollow
Mark Bowick, University of California, Institute for Theoretical Physics ; Syracuse University, Physics DepartmentFollow
N. Ishibashi, University of California, Department of Physics

Document Type

Report

Date

1991

Keywords

double scaling limit, trigonometric orthogonal polynomials

Language

English

Disciplines

Mathematics

Description/Abstract

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.

Recommended Citation

Anagnostopoulos, Konstantinos N.; Bowick, Mark; and Ishibashi, N., "An Operator Formalism for Unitary Matrix Models" (1991). Physics - All Scholarship. 24.
https://surface.syr.edu/phy/24

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.