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arXiv: 2003.13772
handle: 2445/179274 , 10651/58352
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.
Global Symmetries, High Energy Physics - Theory, Teoria quàntica de camps, Conformal Field Theory, FOS: Physical sciences, Field Theories in Higher Dimensions, QC770-798, Quantum field theory, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Simetria (Física), Symmetry (Physics)
Global Symmetries, High Energy Physics - Theory, Teoria quàntica de camps, Conformal Field Theory, FOS: Physical sciences, Field Theories in Higher Dimensions, QC770-798, Quantum field theory, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Simetria (Física), Symmetry (Physics)
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