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Charging the $O(N)$ model

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arxiv 2003.13121 v2 pith:LJDMW6HR submitted 2020-03-29 hep-th hep-ph

Oleg Antipin , Jahmall Bersini , Francesco Sannino , Zhi-Wei Wang , Chen Zhang This is my paper · ORCID
classification hep-thhep-ph
keywords orderdimensionsleadingmodeltermsall-orderschargecharging
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abstract

We determine, for the first time, the scaling dimensions of a family of fixed-charge operators stemming from the critical $O(N)$ model in 4-$\epsilon$ dimensions to the leading and next to leading order terms in the charge expansion but to all-orders in the coupling. We test our results to the maximum known order in perturbation theory while determining higher order terms.

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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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