Loops, Knots, Gauge Theories
Gambini, Rodolfo
Loops, Knots, Gauge Theories - Cambridge Cambridge University Press 2001 - 1 electronic resource (321 p.)
Open Access
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.
Creative Commons
English
9781009290166 9781009290197 9781009290203 9781009290203
10.1017/9781009290203 doi
Nuclear physics
Particle physics
Loops, Knots, Gauge Theories - Cambridge Cambridge University Press 2001 - 1 electronic resource (321 p.)
Open Access
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.
Creative Commons
English
9781009290166 9781009290197 9781009290203 9781009290203
10.1017/9781009290203 doi
Nuclear physics
Particle physics