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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/179274
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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ARIAS TAMARGO, G., RODRÍGUEZ GÓMEZ, Diego and RUSSO, J. G. (Jorge Guillermo). On the UV completion of the $O(N)$ model in $6-\epsilon$ dimensions: a stable large-charge sector. Journal of High Energy Physics. 2020. Vol. 9, num. 64. ISSN 1126-6708. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/179274