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On the UV completion of the $O(N)$ model in $6-\epsilon$ dimensions: a stable large-charge sector

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We study large charge sectors in the O(N) model in 6 − ϵ dimensions. For 4 < d < 6, in perturbation theory, the quartic O(N) theory has a UV stable fixed point at large N . It was recently argued that this fixed point can be described in terms of an IR fixed point of a cubic O(N) model. By considering a double scaling limit of large charge and weak couplings, we compute two-point and all "extremal" higher-point correlation functions for large charge operators and find a precise equivalence between both pictures. Instanton instabilities are found to be exponentially suppressed at large charge. We also consider correlation function of U(1)-invariant meson operators in the O(2N) ⊃ U(1) × SU(N) theory, as a first step towards tests of (higher spin) AdS/CFT.

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Journal of High Energy Physics, 2020, vol. 9, num. 64

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cc-by (c) Arias Tamargo, G. et al., 2020

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Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
On the UV completion of the $O(N)$ model in $6-\epsilon$ dimensions: a stable large-charge sector