RT Journal Article T1 Complex saddle points in the Gross-Witten-Wadia matrix model A1 Álvarez Galindo, Gabriel A1 Martínez Alonso, Luis A1 Medina, Elena AB 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. PB Amer Physical Soc SN 2470-0010 YR 2016 FD 2016-11-14 LK https://hdl.handle.net/20.500.14352/17738 UL https://hdl.handle.net/20.500.14352/17738 LA eng NO © 2016 American Physical Society.We wish to acknowledge the support of the Spanish Ministerio de Economía y Competitividad under Project No. FIS2015-63966-P. NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 7 abr 2025