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Multiple phases in a generalized Gross-Witten-Wadia matrix model

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We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary matrix models and is the unitary counterpart of a deformed Cauchy ensemble. Exact formulas for the partition function and Wilson loops are given in terms of Toeplitz determinants and minors and large N results are obtained by using Szegö theorem with a Fisher-Hartwig singularity. In the large N (planar) limit with two scaled couplings, the theory exhibits a surprisingly intricate phase structure in the two-dimensional parameter space.

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Journal of High Energy Physics, 2020, vol. 9, num. 81

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cc-by (c) Russo, J. G. (Jorge Guillermo) et al., 2020

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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Multiple phases in a generalized Gross-Witten-Wadia matrix model