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An analysis of the intermediate field theory of T4 tensor model
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  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 07 January 2015

An analysis of the intermediate field theory of T4 tensor model

  • Viet Anh Nguyen1,3,5,
  • Stéphane Dartois1,2 &
  • Bertrand Eynard3,4 

Journal of High Energy Physics volume 2015, Article number: 13 (2015) Cite this article

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A preprint version of the article is available at arXiv.

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.

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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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Authors and Affiliations

  1. Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris 11, Bat 210, Faculté des Sciences, Orsay Cedex, 91405, France

    Viet Anh Nguyen & Stéphane Dartois

  2. LIPN, Institut Galilée, CNRS UMR, Université Paris 13, 99 avenue Jean Baptiste Clément, Villetaneuse, 93430, France

    Stéphane Dartois

  3. IPhT, Institut de Physique Théorique, CEA/DSM/IPhT, CEA/Saclay, Orme des Merisiers batiment 774, Point courrier 136, Gif-sur-Yvette Cedex, 91191, France

    Viet Anh Nguyen & Bertrand Eynard

  4. Centre de Recherches Mathématiques, Université de Montréal, Pavillon André-Aisenstadt, 2920, Chemin de la tour, bur. 5357, Montréal, Québec, H3T 1J4, Canada

    Bertrand Eynard

  5. LAREMA, CNRS UMR 6093, Université d’Anger, Département de mathématiques, Faculté des Sciences, 2 Boulevard Lavoisier, Angers, 49045, France

    Viet Anh Nguyen

Authors
  1. Viet Anh Nguyen
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  2. Stéphane Dartois
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  3. Bertrand Eynard
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Corresponding author

Correspondence to Stéphane Dartois.

Additional information

ArXiv ePrint: 1409.5751

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Cite this article

Nguyen, V.A., Dartois, S. & Eynard, B. An analysis of the intermediate field theory of T4 tensor model. J. High Energ. Phys. 2015, 13 (2015). https://doi.org/10.1007/JHEP01(2015)013

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  • Received: 22 October 2014

  • Accepted: 02 December 2014

  • Published: 07 January 2015

  • DOI: https://doi.org/10.1007/JHEP01(2015)013

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Keywords

  • Matrix Models
  • Models of Quantum Gravity
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