Published March 11, 2024 | Version v1
Journal article Open

Generalized Amit-Roginsky model from perturbations of 3D quantum gravity

  • 1. LaBRI, Université of Bordeaux, 351 cours de la Libération, 33405 Talence, France
  • 2. Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 Müchen, Germany
  • 3. LIPN, Université Sorbonne Paris Nord, Villetaneuse 93430, France
  • 4. H. Hulubei National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, 077125 Magurele, Romania

Description

A generalized Amit-Roginsky vector model in flat space is obtained as the effective dynamics of pertubations around a classical solution of the Boulatov group field theory for 3D Euclidean quantum gravity, extended to include additional matter degrees of freedom. By further restricting the type of perturbations, the original Amit-Roginsky model can be obtained. This result suggests a general link (and possibly a unified framework) between two types of tensorial quantum field theories; on one hand quantum geometric group field theories and tensorial models for random geometry, and on the other hand melonic-dominated vector and tensorial models in flat space, such as the Amit-Roginsky model and the Sachdev-Ye-Kitaev model.

Files

10.1103_PhysRevD.109.066008.pdf

Files (340.7 kB)

Name Size Download all
md5:ccc80a182f08e6cebb8fedd2a43b9d72
340.7 kB Preview Download

Additional details

Identifiers

DOI
10.1103/PhysRevD.109.066008;
arXiv
arXiv:2307.14211;
Crossref Funder ID
10.13039/501100005722; 10.13039/501100001659; 10.13039/501100004543; 10.13039/501100001665; 10.13039/501100014087; 10.13039/501100004794; 10.13039/501100019125;

Publishing Information

Journal Title
Physical Review D
Journal Volume
109
Journal Issue
6
Journal Page Range
15 pgs.
ISSN
1089-4918

Optional Information

Contract/Grant/Project number
20-CE48-0018; UAR 839; 23 21 01 01/2023; ANR-10-LABX-59-01
Notes
Contact Email: victor.nador@u-bordeaux.fr; Contact Email: daniele.oriti@physik.lmu.de; Contact Email: Xiankai.Pang@physik.uni-muenchen.de; Contact Email: ntanasa@u-bordeaux.fr; Contact Email: Wang.Yili@physik.uni-muenchen.de; Record automatically processed
Funding organization
Ludwig-Maximilians-Universität München; Deutsche Forschungsgemeinschaft; China Scholarship Council; Agence Nationale de la Recherche; Institut Henri Poincaré; Centre National de la Recherche Scientifique; Sorbonne Université; Bordeaux; Program Nucleu; Laboratoire d'EXcellence, Centre d'Accueil et de Rencontres Mathématiques INternationales