TY  - BOOK
AU  - Gambini,Rodolfo
AU  - Pullin,Jorge
TI  - Loops, knots, gauge theories, and quantum gravity
T2  - Cambridge monographs on mathematical physics
SN  - 9780511524431 (ebook)
AV  - QC178 .G36 1996
U1  - 530.1/43 20
PY  - 1996///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Quantum gravity
KW  - Mathematics
KW  - Loops (Group theory)
KW  - Knot theory
KW  - Gauge fields (Physics)
KW  - Quantum field theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current 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. This text begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed in detail. Following chapters move on to consider 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
UR  - https://doi.org/10.1017/CBO9780511524431
ER  -