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arXiv · 1808.05236

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

Anees Ahmed·Gerald V. Dunne
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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.

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Anees Ahmed, Gerald V. Dunne. 2018-08-15. Non-Perturbative Large N Trans-series for the Gross-Witten-Wadia Beta Function. https://doi.org/10.1016/j.physletb.2018.08.072

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