A Caltech Library Service

A study of quantum field theories in AdS at finite coupling

Carmi, Dean and Di Pietro, Lorenzo and Komatsu, Shota (2019) A study of quantum field theories in AdS at finite coupling. Journal of High Energy Physics, 2019 (1). Art. No. 200. ISSN 1126-6708. doi:10.1007/JHEP01(2019)200.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We study the O(N) and Gross-Neveu models at large N on AdSd+1 background. Thanks to the isometries of AdS, the observables in these theories are constrained by the SO(d, 2) conformal group even in the presence of mass deformations, as was discussed by Callan and Wilczek [1], and provide an interesting two-parameter family of quantities which interpolate between the S-matrices in flat space and the correlators in CFT with a boundary. For the actual computation, we judiciously use the spectral representation to resum loop diagrams in the bulk. After the resummation, the AdS 4-particle scattering amplitude is given in terms of a single unknown function of the spectral parameter. We then “bootstrap” the unknown function by requiring the absence of double-trace operators in the boundary OPE. Our results are at leading nontrivial order in 1/N, and include the full dependence on the quartic coupling, the mass parameters, and the AdS radius. In the bosonic O(N) model we study both the massive phase and the symmetry-breaking phase, which exists even in AdS2 evading Coleman’s theorem, and identify the AdS analogue of a resonance in flat space. We then propose that symmetry breaking in AdS implies the existence of a conformal manifold in the boundary conformal theory. We also provide evidence for the existence of a critical point with bulk conformal symmetry, matching existing results and finding new ones for the conformal boundary conditions of the critical theories. For the Gross-Neveu model we find a bound state, which interpolates between the familiar bound state in flat space and the displacement operator at the critical point.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Additional Information:© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: October 29, 2018; Accepted: January 14, 2019; Published: January 25, 2019. We thank Shira Chapman, Davide Gaiotto, Andrea Guerrieri, Daniel Kapec, Zohar Komargodski, Juan Maldacena, Marco Meineri, Matthijs Hogervorst, Marco Serone, Joao Penedones, Vladimir Rosenhaus and Pedro Vieira for useful discussions. DC and SK would like to thank Perimeter Institute for Theoretical Physics where part of this work was done. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation. The work of SK is supported by DOE grant number DE-SC0009988.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Government of CanadaUNSPECIFIED
Industry CanadaUNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
Department of Energy (DOE)DE-SC0009988
Subject Keywords:1/N Expansion; Conformal Field Theory; Renormalization Group; Resummation
Issue or Number:1
Record Number:CaltechAUTHORS:20190129-133222637
Persistent URL:
Official Citation:Carmi, D., Di Pietro, L. & Komatsu, S. J. High Energ. Phys. (2019) 2019: 200.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92509
Deposited By: Tony Diaz
Deposited On:29 Jan 2019 21:41
Last Modified:16 Nov 2021 03:51

Repository Staff Only: item control page