Complex Path Integrals and Saddles in Two-Dimensional Gauge Theory

Buividovich, P. V. and Dunne, Gerald V. and Valgushev, S. N. (2016) Complex Path Integrals and Saddles in Two-Dimensional Gauge Theory. PHYSICAL REVIEW LETTERS, 116 (13): 132001. ISSN 0031-9007, 1079-7114

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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 interpretation of nonperturbative effects in the strong-coupling phase. In both phases, eigenvalue tunneling refers to eigenvalues moving off the real interval, into the complex plane, and the weak-to-strong coupling phase transition is driven by saddle condensation.

Item Type: Article
Uncontrolled Keywords: PHASE-TRANSITION; MATRIX MODELS; STRING THEORY; INSTANTONS; BEHAVIOR; QCD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Mar 2019 09:23
Last Modified: 25 Mar 2019 09:23
URI: https://pred.uni-regensburg.de/id/eprint/3218

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