Loops, Knots, Gauge Theories and Quantum Gravity by Rodolfo Gambini & Jorge Pullin & Abhay Ashtekar

Loops, Knots, Gauge Theories and Quantum Gravity A self-contained introduction to applications of loop representations and knot theory in quantum gravity.

Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed in detail. Following chapters move on to consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research.
Author(s) : Abhay Ashtekar Format : Paperback Book
ISBN-10 : 0521654750 ISBN-13 : 9780521654753
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Product Details:

Series Title : Cambridge Monographs on Mathematical Physics

Country Publication : United Kingdom

Publication Date : 03/07/2000

Publisher : Cambridge University Press

Page Length : 338mm

Page Size : 248mm