The Cubic Fixed Point at Large $N$

Abstract

By considering the renormalization group flow between $N$ coupled Ising models in the UV and the cubic fixed point in the IR, we study the large $N$ behavior of the cubic fixed points in three dimensions. We derive a diagrammatic expansion for the $1/N$ corrections to correlation functions. Leading large $N$ corrections to conformal dimensions at the cubic fixed point are then evaluated using numeric conformal bootstrap data for the 3d Ising model.

arXiv comment34 pages, v2 minor typos fixed

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Cited by in corpus (5)

• Coupled minimal models revisited
• Cubic fixed point in three dimensions: Monte Carlo simulations of the ${\varphi }^4$ model on the lattice
• Bootstrapping Mixed MN Correlators in 3D
• Spontaneous breaking of finite group symmetries at all temperatures
• Phonon-induced modification of quantum criticality