期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2020)081
关键词
Matrix Models; 1/N Expansion
资金
- MINECO [2017-SGR-929, FPA2016-76005-C]
- Fundacao para a Ciencia e a Tecnologia (FCT) through FCT Project [PTDC/MAT-PUR/30234/2017]
- Fundação para a Ciência e a Tecnologia [PTDC/MAT-PUR/30234/2017] Funding Source: FCT
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 Szego 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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