On the UV completion of the O(N) model in 6 − ϵ dimensions: a stable large-charge sector

A bstract 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...

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Published in:The journal of high energy physics 2020-09, Vol.2020 (9), p.1-30, Article 64
Main Authors: Arias-Tamargo, G., Rodriguez-Gomez, D., Russo, J. G.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Conformal Field Theory
Elementary Particles
Field Theories in Higher Dimensions
Global Symmetries
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract 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(2 N ) ⊃ U(1) × SU( N ) theory, as a first step towards tests of (higher spin) AdS / CFT.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2020)064