The Geometry of Dynamical Triangulations

Released on by Jan Ambjorn
preview-18

  • The Geometry of Dynamical Triangulations Book Detail

  • Author : Jan Ambjorn
  • Release Date : 2009-02-17
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 207
  • ISBN 13 : 3540694277
  • File Size : 39,39 MB
DOWNLOAD BOOK

The Geometry of Dynamical Triangulations by Jan Ambjorn PDF Summary

Book Description: The express purpose of these lecture notes is to go through some aspects of the simplicial quantum gravity model known as the dynamical triangula tions approach. Emphasis has been on laying the foundations of the theory and on illustrating its subtle and often unexplored connections with many distinct mathematical fields ranging from global Riemannian geometry, to moduli theory, number theory, and topology. Our exposition will concentrate on these points so that graduate students may find in these notes a useful exposition of some of the rigorous results one can -establish in this field and hopefully a source of inspiration for new exciting problems. We try as far as currently possible to expose the interplay between the analytical aspects of dynamical triangulations and the results of Monte Carlo simulations. The techniques described here are rather novel and allow us to address points of current interest in the subject of simplicial quantum gravity while requiring very little in the way of fancy field-theoretical arguments. As a consequence, these notes contain mostly original and until now unpublished material, which will hopefully be of interest both to the expert practitioner and to graduate students entering the field. Among the topics addressed here in considerable detail are the following. (i) An analytical discussion of the geometry of dynamical triangulations in dimensions n == 3 and n == 4.

Disclaimer: www.yourbookbest.com does not own The Geometry of Dynamical Triangulations books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

The Geometry of Dynamical Triangulations

The Geometry of Dynamical Triangulations

File Size : 38,38 MB
Total View : 7513 Views
DOWNLOAD

The express purpose of these lecture notes is to go through some aspects of the simplicial quantum gravity model known as the dynamical triangula tions approach

Exploring Causal Dynamical Triangulations

Exploring Causal Dynamical Triangulations

File Size : 60,60 MB
Total View : 8397 Views
DOWNLOAD

Causal dynamical triangulations is a novel approach to lattice regularization of the gravitational path integral. After motivating the study of quantum theories

Quantum Geometry

Quantum Geometry

File Size : 68,68 MB
Total View : 6277 Views
DOWNLOAD

Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.

M-Theory and Quantum Geometry

M-Theory and Quantum Geometry

File Size : 66,66 MB
Total View : 5718 Views
DOWNLOAD

The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifyin

M-Theory and Quantum Geometry

M-Theory and Quantum Geometry

File Size : 37,37 MB
Total View : 5593 Views
DOWNLOAD

Papers from an August 1999 NATO Advanced Study Institute held in Iceland report on recent advances in superstring theory, which is the leading candidate for a u