Unitary integrals and related matrix models |
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Authors: | AYu Morozov |
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Institution: | 1.Institute for Theoretical and Experimental Physics,Moscow,Russia |
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Abstract: | We briefly review the basic properties of unitary matrix integrals, using three matrix models to analyze their properties:
the ordinary unitary, the Brezin—Gross—Witten, and the Harish—Chandra—Itzykson—Zuber models. We especially emphasize the nontrivial
aspects of the theory, from the De Witt’Hooft anomaly in unitary integrals to the problem of calculating correlators with
the Itzykson-Zuber measure. We emphasize the method of character expansions as a technical tool. Unitary integrals are still
insufficiently investigated, and many new results should be expected as this field attracts increased attention. |
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