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Loops, Knots, Gauge Theories and Quantum Gravity
by Rodolfo Gambini and Jorge Pullin and Peter Landshoff

Overview - 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.  Read more...

 
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More About Loops, Knots, Gauge Theories and Quantum Gravity by Rodolfo Gambini; Jorge Pullin; Peter Landshoff
 
 
 
Overview
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.


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Details
  • ISBN-13: 9780521654753
  • ISBN-10: 0521654750
  • Publisher: Cambridge University Press
  • Publish Date: September 2002
  • Page Count: 338

Series: Cambridge Monographs on Mathematical Physics

Related Categories

Books > Science > Physics - Mathematical & Computational
Books > Science > Physics - Quantum Theory
Books > Science > Waves & Wave Mechanics

 
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