Russo, J. G. (Jorge Guillermo)Tierz, Miguel2021-07-212021-07-212020-09-101126-6708https://hdl.handle.net/2445/179262We 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.23 p.application/pdfengcc-by (c) Russo, J. G. (Jorge Guillermo) et al., 2020https://creativecommons.org/licenses/by/4.0/Química quànticaQuantum chemistryinfo:eu-repo/semantics/article7057132021-07-21info:eu-repo/semantics/openAccess