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Resurgence of the large-charge expansion

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arxiv 2102.12488 v2 pith:GOZYAITK submitted 2021-02-24 hep-th

Nicola Dondi , Ioannis Kalogerakis , Domenico Orlando , Susanne Reffert This is my paper · ORCID
classification hep-th
keywords chargedimensionsexpansionlargelarge-chargenon-perturbativeresurgencevalue
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We study the O(2N) model at criticality in three dimensions in the double scaling limit of large N and large charge. We show that the large-charge expansion is an asymptotic series, and we use resurgence techniques to study the non-perturbative corrections and to extend the validity of the effective field theory to any value of the charge. We conjecture the general form of the non-perturbative behavior of the conformal dimensions for any value of N and find very good agreement with previous lattice data.

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  1. Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge

    hep-th 2025-05 conditional novelty 6.0 of 10

    For the 3d NJL model at large charge, the scaling dimension has a convergent small-q series and an asymptotic large-q series whose nonperturbative corrections are worldline-instanton terms e^{-α√q}.

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