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Article Dans Une Revue Journal of High Energy Physics Année : 2023

A Landau Pole in Conformal Field Theory

Ivo Sachs
  • Fonction : Auteur

Résumé

The singlet sector of the $O(N),$$\phi^4$-model in AdS$_4$ at large-$N$, gives rise to a (non-local) dual conformal field theory on the conformal boundary of AdS$_4$, which is a deformation of the generalized free field. We identify and compute a AdS$_4$ 3-point 1-loop fish diagram that controls the exact large-$N$ dimensions and operator product coefficients (OPE) for all "double trace" operators as a function of the renormalized $\phi^4$-coupling. We find that the space of $\phi^4$-coupling is compact with a boundary at the bulk Landau pole where the lowest OPE coefficient diverges.

Dates et versions

hal-04039955 , version 1 (21-03-2023)

Identifiants

Citer

Ivo Sachs, Pierre Vanhove. A Landau Pole in Conformal Field Theory. Journal of High Energy Physics, 2023, 07, pp.106. ⟨10.1007/JHEP07(2023)106⟩. ⟨hal-04039955⟩
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