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arXiv · 2007.08515

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

Jorge G. Russo·Miguel Tierz
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Abstract

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 Szeg\"o 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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Jorge G. Russo, Miguel Tierz. 2020-07-16. Multiple phases in a generalized Gross-Witten-Wadia matrix model. https://doi.org/10.1007/jhep09(2020)081

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