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http://hdl.handle.net/10071/21077
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Title: Multiple phases in a generalized Gross-Witten-Wadia matrix model
Authors: Russo, J. G.
Tierz, M.
Keywords: Matrix models
1/N Expansion
Issue Date: 2020
Publisher: Springer Science and Business Media Deutschland GmbH
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 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.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/21077
DOI: 10.1007/JHEP09(2020)081
ISSN: 1126-6708
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-74297
Accession number: WOS:000571809900001
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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