Quantum \(\phi^4\) Theory in AdS\({}_4\) and its CFT Dual

We compute the two- and four-point holographic correlation functions up to the second order in the coupling constant for a scalar \(\phi^4\) theory in four-dimensional Euclidean anti-de Sitter space. Analytic expressions for the anomalous dimensions of the leading twist operators are found at one lo...

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Veröffentlicht in:arXiv.org 2019-02
Hauptverfasser: Bertan, Igor, Sachs, Ivo, Skvortsov, Evgeny D
Format: Artikel
Sprache:eng
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Zusammenfassung:We compute the two- and four-point holographic correlation functions up to the second order in the coupling constant for a scalar \(\phi^4\) 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.
ISSN:2331-8422