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An analysis of the intermediate field theory of T4 tensor model

  • Viet Anh Nguyen
  • Stéphane Dartois
  • Bertrand Eynard
Open Access
Regular Article - Theoretical Physics

Abstract

In this paper we analyze the multi-matrix model arising from the intermediate field representation of the tensor model with all quartic melonic interactions. We derive the saddle point equation and the Schwinger-Dyson constraints. We then use them to describe the leading and next-to-leading eigenvalues distribution of the matrices.

Keywords

Matrix Models Models of Quantum Gravity 

Notes

Open Access

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.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Viet Anh Nguyen
    • 1
    • 3
    • 5
  • Stéphane Dartois
    • 1
    • 2
  • Bertrand Eynard
    • 3
    • 4
  1. 1.Laboratoire de Physique Théorique, CNRS UMR 8627Orsay CedexFrance
  2. 2.LIPN, Institut Galilée, CNRS UMRVilletaneuseFrance
  3. 3.IPhT, Institut de Physique Théorique, CEA/DSM/IPhT, CEA/SaclayGif-sur-Yvette CedexFrance
  4. 4.Centre de Recherches MathématiquesUniversité de MontréalMontréalCanada
  5. 5.LAREMA, CNRS UMR 6093, Université d’Anger, Département de mathématiques, Faculté des SciencesAngersFrance

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