Multiple phases in a generalized Gross-Witten-Wadia matrix model
Autor: | Russo, Jorge G., Tierz, Miguel |
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Rok vydání: | 2020 |
Předmět: | |
Zdroj: | J. High Energ. Phys. 2020, 81 (2020) |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/JHEP09(2020)081 |
Popis: | 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. Comment: 22 pages |
Databáze: | arXiv |
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