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Complex Path Integrals and Saddles in Two-Dimensional Gauge Theory

Buividovich, P. V. ; Dunne, Gerald V. ; Valgushev, S. N.



Abstract

We study numerically the saddle point structure of two-dimensional lattice gauge theory, represented by the Gross-Witten-Wadia unitary matrix model. The saddle points are, in general, complex valued, even though the original integration variables and action are real. We confirm the trans-series and instanton gas structure in the weak-coupling phase, and we identify a new complex-saddle ...

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