Non-Perturbative Large N Trans-series for the Gross-Witten-Wadia Beta Function

Abstract

We describe the non-perturbative trans-series, at both weak- and strong-coupling, of the large N approximation to the beta function of the Gross-Witten-Wadia unitary matrix model. This system models a running coupling, and the structure of the trans-series changes as one crosses the large N phase transition. The perturbative beta function acquires a non-perturbative trans-series completion at large but finite $N$ in the 't Hooft limit, as does the running coupling.

arXiv comment8 pages, 3 figures

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Cited by in corpus (5)

• Matrix models for classical groups and Toeplitz$\pm$Hankel minors with applications to Chern-Simons theory and fermionic models
• Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$ SQED
• Multiple phases in a generalized Gross-Witten-Wadia matrix model
• Phases of unitary matrix models and lattice QCD2
• Two-point functions at arbitrary genus and its resurgence structure in a matrix model for 2D type IIA superstrings