02603nam a2200433 i 4500 CR9781009290203 UkCbUP 20250826121401.0 m|||||o||d|||||||| cr|||||||||||| 220412r20222001enk o ||1 0|eng|d 9781009290203 (ebook) 9781009290197 (hardback) 9781009290166 (paperback) UkCbUP eng rda UkCbUP QC178 .G36 2022 530.1/43 23 Gambini, Rodolfo, author. 510150 Loops, knots, gauge theories and quantum gravity / Rodolfo Gambini, Jorge Pullin. Cambridge : Cambridge University Press, 2022. 1 online resource (xvi, 321 pages) : digital, PDF file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge monographs on mathematical physics Open Access. Unrestricted online access star Reissued as Open Access in 2022. Originally published in 2001. Title from publisher's bibliographic system (viewed on 10 Nov 2022). 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 on Cambridge Core. Quantum gravity Mathematics. 608417 Loops (Group theory) 588446 Knot theory. Gauge fields (Physics) Quantum field theory. Pullin, Jorge, author. 510152 Print version: 9781009290197 Cambridge monographs on mathematical physics. https://doi.org/10.1017/9781009290203 321019 321019