Arias Tamargo, G.Rodríguez Gómez, DiegoRusso, J. G. (Jorge Guillermo)2021-07-212021-07-212020-09-081126-6708https://hdl.handle.net/2445/179274We 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.30 p.application/pdfengcc-by (c) Arias Tamargo, G. et al., 2020https://creativecommons.org/licenses/by/4.0/Simetria (Física)Teoria quàntica de campsSymmetry (Physics)Quantum field theoryinfo:eu-repo/semantics/article7057112021-07-21info:eu-repo/semantics/openAccess