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oapen-20.500.12657-592132022-11-16T12:40:25Z Loops, Knots, Gauge Theories Gambini, Rodolfo Pullin, Jorge Particle physics bic Book Industry Communication::P Mathematics & science::PH Physics::PHN Nuclear physics This volume provides a self-contained introduction to applications of loop representations, and the related topic of knot theory, in particle physics and quantum gravity. These topics are of considerable 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. The book begins with a detailed review of loop representation theory and then describes loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed, with the following chapters considering 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. First published in 1996, this title has been reissued as an Open Access publication. 2022-11-10T16:05:57Z 2022-11-10T16:05:57Z 2001 book ONIX_20221110_9781009290203_12 9781009290203 9781009290197 9781009290166 https://library.oapen.org/handle/20.500.12657/59213 eng application/pdf Attribution-NonCommercial-NoDerivatives 4.0 International 9781009290197.pdf Cambridge University Press 10.1017/9781009290203 10.1017/9781009290203 7607a2d0-47af-490f-9d2a-8c9340266f8a c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009290203 9781009290197 9781009290166 SCOAP3 for Books 321 Cambridge [...] SCOAP3 open access
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This volume provides a self-contained introduction to applications of loop representations, and the related topic of knot theory, in particle physics and quantum gravity. These topics are of considerable 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. The book begins with a detailed review of loop representation theory and then describes loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed, with the following chapters considering 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. First published in 1996, this title has been reissued as an Open Access publication.
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