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...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Bertan, Igor, Sachs, Ivo, Skvortsov, Evgeny D
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.02.2019
Subjects
Boundary conditions
Dirichlet problem
Euclidean geometry
Online AccessGet full text

Cover

More Information
Summary: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