The Geometry of Dynamical Triangulations

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...

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Bibliographic Details
Main Authors: Ambjorn, Jan, Carfora, Mauro (Author), Marzuoli, Annalisa (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1997, 1997
Edition:1st ed. 1997
Series:Lecture Notes in Physics Monographs
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a Triangulations -- Dynamical Triangulations -- Moduli Spaces for Dynamically Triangulated Manifolds -- Curvature Assignments for Dynamical Triangulations -- Entropy Estimates -- Analytical vs. Numerical Data 
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520 |a 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