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Title: On the UV completion of the $O(N)$ model in $6-\epsilon$ dimensions: a stable large-charge sector
Author: Arias Tamargo, G.
Rodríguez Gómez, Diego
Russo, J. G. (Jorge Guillermo)
Keywords: Simetria (Física)
Teoria quàntica de camps
Symmetry (Physics)
Quantum field theory
Issue Date: 8-Sep-2020
Publisher: Springer Verlag
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.
Note: Reproducció del document publicat a:
It is part of: Journal of High Energy Physics, 2020, vol. 9, num. 64
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ISSN: 1126-6708
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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