Loops, Knots, Gauge Theories and Quantum Gravity

By: Rodolfo Gambini, Jorge Pullin, Peter Landshoff (Editor)

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Paperback | 13 July 2000

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340 Pages

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23.5 x 19.05 x 1.8

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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 provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. The book 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. The authors then discuss applications in quantum gravity in detail. Following chapters 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.

Industry Reviews

"...the book is useful for an immersion in the subject, researchers working in the field, no doubt, will find it pleasant because of the precise natural style of the authors, who are pioneers and leaders in the field." Hugo A. Morales, Mathematical Reviews

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Mathematics Topology Nuclear Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Applied Physics Geophysics

Holonomies and the group of loops
Loop coordinates and the extended group of loops
The loop representation
Maxwell theory
Yang-Mills theories
Lattice techniques
Quantum gravity
The loop representation of quantum theory
Loop representation: further developments
Knot theory and physical states of quantum gravity
The extended loop representation of quantum gravity
Conclusions: present status and outlook
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Loops, Knots, Gauge Theories and Quantum Gravity

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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