Loops, Knots, Gauge Theories
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...
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| Main Authors: | , |
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| Format: | Online |
| Language: | English |
| Published: |
Cambridge University Press
2022
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| Online Access: | ONIX_20221110_9781009290203_12 |
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| _version_ | 1863741093389008896 |
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| author | Gambini, Rodolfo Pullin, Jorge |
| author_browse | Gambini, Rodolfo Pullin, Jorge |
| author_facet | Gambini, Rodolfo Pullin, Jorge |
| author_sort | Gambini, Rodolfo |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-93521 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| publisherStr | Cambridge University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-935212025-08-13T13:41:26Z Loops, Knots, Gauge Theories Gambini, Rodolfo Pullin, Jorge Particle physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and 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. 2022-11-11T04:02:10Z 2022-11-11T04:02:10Z 2022-11-10T16:05:57Z 2001 book ONIX_20221110_9781009290203_12 OCN: 1348140331 https://library.oapen.org/handle/20.500.12657/59213 9781009290203 9781009290197 9781009290166 https://directory.doabooks.org/handle/20.500.12854/93521 eng open access image/jpeg image/jpeg image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/59213/1/9781009290197.pdf https://library.oapen.org/bitstream/20.500.12657/59213/1/9781009290197.pdf https://library.oapen.org/bitstream/20.500.12657/59213/1/9781009290197.pdf https://library.oapen.org/bitstream/20.500.12657/59213/1/9781009290197.pdf Cambridge University Press 10.1017/9781009290203 10.1017/9781009290203 12615a55-20f1-4eb5-a6c9-5eb6541f63e5 SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009290203 9781009290197 9781009290166 SCOAP3 for Books 321 Cambridge [...] open access |
| spellingShingle | Particle physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics Gambini, Rodolfo Pullin, Jorge Loops, Knots, Gauge Theories |
| title | Loops, Knots, Gauge Theories |
| title_full | Loops, Knots, Gauge Theories |
| title_fullStr | Loops, Knots, Gauge Theories |
| title_full_unstemmed | Loops, Knots, Gauge Theories |
| title_short | Loops, Knots, Gauge Theories |
| title_sort | loops knots gauge theories |
| topic | Particle physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics |
| topic_facet | Particle physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics |
| url | ONIX_20221110_9781009290203_12 |
| work_keys_str_mv | AT gambinirodolfo loopsknotsgaugetheories AT pullinjorge loopsknotsgaugetheories |