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Loops, Knots, Gauge Theories and Quantum Gravity (Cambridge Monographs on Mathematical Physics)

Gambini, Rodolfo; Pullin, Jorge

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ISBN 10: 0521654750 / ISBN 13: 9780521654753
Published by Cambridge University Press, U.S.A., 2000
Used Condition: Very Good Soft cover
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Bibliographic Details

Title: Loops, Knots, Gauge Theories and Quantum ...

Publisher: Cambridge University Press, U.S.A.

Publication Date: 2000

Binding: Soft Cover

Book Condition:Very Good

Dust Jacket Condition: No Jacket

About this title

Synopsis:

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.

Book Description:

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 four fundamental forces. This text reviews loop representation theory, Maxwell theory, Yang-Mills theories, lattice techniques, knot and braid theory, and describes applications 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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