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Cover

Random Tensors

Răzvan Gheorghe Gurău

06 October 2016

ISBN: 9780198787938

344 pages
Hardback
246x171mm

In Stock

Price: £83.00

This book introduces "Random Tensors," a framework for studying random geometries in any dimension. It provides a complete derivation of the key results in the field. Whatever form a theory of Quantum Gravity may take, it must incorporate random geometry.

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Description

This book introduces "Random Tensors," a framework for studying random geometries in any dimension. It provides a complete derivation of the key results in the field. Whatever form a theory of Quantum Gravity may take, it must incorporate random geometry.

  • First self-contained introductory text to a rapidly developing theory
  • Building on the resounding success of random matrices
  • Gradually progresses from simple to more complex topics
  • Results presented as theorems, followed by discussion sections
  • Highlights open problems in the field, and prompts practioners to seek solutions to them
  • Numerous figures

About the Author(s)

Răzvan Gheorghe Gurău, Researcher, Centre de Physique Théorique, École Polytechnique, CNRS, Université Paris-Saclay, France

Răzvan Gheorghe Gurău studied as an undergraduate at the Physics Department of the University of Bucharest before coming to France in 2002 as an élève of the École Normale Supérieure de Paris, Selection Internationale. He obtained his BA and MA degrees from the ENS and continued with a PhD in Mathematical Physics at the Université Paris 11, graduating in 2008. From 2008 to 2012 he was a postdoctoral researcher and a senior postdoctoral researcher at the Perimeter Institute for Theoretical Physics. In 2012 he joined the Centre National de la Recherche Scientifique as a full-time researcher and obtained his Habilitation a diriger des recherches in 2015.

Table of Contents

    1:Introduction
    2:Preliminaries
    3:Generalities on edge colored graphs
    4:The classification of edge colored graphs
    5:Melonic graphs
    6:The universality theorem
    7:A digest of matrix models
    8:The perturbative expansion of tensor models
    9:The quartic tensor model
    10:The double scaling limit
    11:Symmetry breaking
    12:Conclusions
    Appendices

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