TY  - BOOK
AU  - Gambini,Rodolfo
AU  - Pullin,Jorge
TI  - Loops, knots, gauge theories and quantum gravity
T2  - Cambridge monographs on mathematical physics
SN  - 0521654750 (paperback)
U1  - 530.143 22
PY  - 2000///
CY  - [S.l.]
PB  - Cambridge University Press
KW  - Field theory (Physics)
KW  - Gauge fields (Physics)
KW  - Group theory
KW  - Knot theory
KW  - Loops (Group theory)
KW  - Quantum field theory
KW  - Quantum gravity
KW  - Quantum gravity--Mathematics
N1  - 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 provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. The book 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. The authors then discuss applications in quantum gravity in detail. Following chapters 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
ER  -