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Complex saddle points in the Gross-Witten-Wadia matrix model

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Álvarez Galindo, Gabriel and Martínez Alonso, Luis and Medina, Elena (2016) Complex saddle points in the Gross-Witten-Wadia matrix model. Physical review D, 94 (10). ISSN 2470-0010

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Official URL: http://dx.doi.org/10.1103/PhysRevD.94.105010


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Abstract

We give an exhaustive characterization of the complex saddle point configurations of the Gross-WittenWadia matrix model in the large-N limit. In particular, we characterize the cases in which the saddles accumulate in one, two, or three arcs, in terms of the values of the coupling constant and of the fraction of the total unit density that is supported in one of the arcs, and derive an explicit condition for gap closing associated with nonvacuum saddles. By applying the idea of large-N instanton we also give direct analytic derivations of the weak- coupling and strong-coupling instanton actions.


Item Type:Article
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© 2016 American Physical Society.
We wish to acknowledge the support of the Spanish Ministerio de Economía y Competitividad under Project No. FIS2015-63966-P.

Uncontrolled Keywords:Valued weight function; Orthogonal polynomials; Phase-transition; Gravity
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:42262
Deposited On:20 Apr 2017 16:49
Last Modified:10 Dec 2018 15:09

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