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http://hdl.handle.net/2445/179274
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: https://doi.org/10.1007/JHEP09(2020)064 |
It is part of: | Journal of High Energy Physics, 2020, vol. 9, num. 64 |
URI: | http://hdl.handle.net/2445/179274 |
Related resource: | https://doi.org/10.1007/JHEP09(2020)064 |
ISSN: | 1126-6708 |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
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