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The Geometry of Dynamical Triangulations

  • Jan Ambjørn
  • Mauro Carfora
  • Annalisa Marzuoli

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 50)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Pages 1-16
  3. Pages 17-37
  4. Pages 125-156
  5. Back Matter
    Pages 175-197

About this book

Introduction

This book analyses in depth the geometrical aspects of the simplicial quantum gravity model known as the dynamical triangulations approach. The authors provide a compact and convenient account suitable both to introduce the non-expert reader to the spirit of the subject and to provide a well-chosen mathematical route to the heart of the matter for the expert. The techniques described in the book are novel and allow points of current interest in the subject of simplicial quantum gravity to be addressed. The authors discuss piecewise linear manifolds and give entropy estimates of the number of triangulations of 3- and 4-manifolds. Continuum physics is recovered through scaling limits and computer simulation is used to study simplicial quantum gravity extensively. The beginner will appreciate the introduction to the field and the expert the comprehensive account of recent results and developments.

Keywords

Gravity computer simulation development discretizations of manifolds entropy geometry monte carlo simulations physics quantum gravity simplicial quantum gravity simulation

Authors and affiliations

  • Jan Ambjørn
    • 1
  • Mauro Carfora
    • 2
  • Annalisa Marzuoli
    • 3
  1. 1.Niels Bohr InstituteUniversity of CopenhagenCopenhagenDenmark
  2. 2.International School for Advanced Studies, SISSA-ISASTriesteItaly
  3. 3.Department of Nuclear and Theoretical PhysicsUniversity of PaviaPaviaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-69427-4
  • Copyright Information Springer Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63330-3
  • Online ISBN 978-3-540-69427-4
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site