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• W3014507974 abstract "We study large charge sectors in the $O(N)$ model in $6-epsilon $ 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 $O(2N)supset U(1)times SU(N)$ theory, as a first step towards tests of (higher spin) $AdS/CFT$." @default.
• W3014507974 created "2020-04-10" @default.
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• W3014507974 date "2020-03-30" @default.
• W3014507974 modified "2023-09-24" @default.
• W3014507974 title "On the UV completion of the $O(N)$ model in $6-epsilon$ dimensions: a stable large-charge sector" @default.
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• W3014507974 hasPublicationYear "2020" @default.
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