The geometry of dynamical triangulations
By: Jan Ambjørn, Mauro Carfora, Annalisa Marzuoli.
Contributors: Carfora, M.; Marzuoli, A.
Series: Lecture notes in physics.; m50
Publisher: Springer
Published: 1997
Place of publication: Berlin; New York
Language: eng
Number of pages: 197
Subjects: Quantum gravity.; Geometry.; Mathematical physics.
Description: 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.
Notes: Includes bibliographical references ([187]-192) and index.