Quantum ${\varphi }^4$ Theory in AdS${}_4$ 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 ${\varphi }^4$ 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.

arXiv comment38 pages, many diagrams, replaced with the revised version

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