Abstract
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., Rodriguez-Gomez, D. & Russo, J.G. On the UV completion of the O(N) model in 6 − ϵ dimensions: a stable large-charge sector. J. High Energ. Phys. 2020, 64 (2020). https://doi.org/10.1007/JHEP09(2020)064
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DOI: https://doi.org/10.1007/JHEP09(2020)064