English

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

High Energy Physics - Theory 2019-03-27 v2

Abstract

We compute the two- and four-point holographic correlation functions up to the second order in the coupling constant for a scalar ϕ4\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.

Keywords

Cite

@article{arxiv.1810.00907,
  title  = {Quantum $\phi^4$ Theory in AdS${}_4$ and its CFT Dual},
  author = {Igor Bertan and Ivo Sachs and Evgeny D. Skvortsov},
  journal= {arXiv preprint arXiv:1810.00907},
  year   = {2019}
}

Comments

38 pages, many diagrams, replaced with the revised version

R2 v1 2026-06-23T04:24:54.815Z