Quantum φ4 Theory in AdS4 and its CFT Dual

Abstract

We compute the two- and four-point holographic correlation functions up to the second order in the coupling constant for a scalar φ4 theory in four-dimensional Euclidean anti-de Sitter space. Analytic expressions for the anomalous dimensions of the leading twist operators are found at one loop, both for Neumann and Dirichlet boundary conditions.

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