Loops, Knots, Gauge Theories and Quantum Gravity

This book provides an introduction to loop representations and knot theory in particle physics and quantum gravity, discussing their applications in gauge invariant quantization and potential for unifying forces.

Format: Paperback / softback
Length: 340 pages
Publication date: 16 February 2023
Publisher: Cambridge University Press

This comprehensive volume offers a thorough introduction to the applications of loop representations and knot theory in particle physics and quantum gravity. These subjects hold immense significance as they offer a unified framework for studying the gauge-invariant quantization of Yang-Mills theories and gravity, paving the way toward the potential unification of the four fundamental forces. The book begins with a detailed exploration of loop representation theory, followed by a comprehensive account of loop representations in Maxwell theory, Yang-Mills theories, and lattice techniques. Subsequently, the book delves into the realm of quantum gravity, examining knot theories, braid theories, and extended loop representations. A concluding chapter evaluates the current state of the theory and highlights potential avenues for future research. Originally published in 1996, this title has been reissued as an Open Access publication on Cambridge Core.

ISBN-13: 9781009290166