Loops, Knots, Gauge Theories / / Rodolfo Gambini, Jorge Pullin, and 3 others.

• VerfasserIn: Gambini, Rodolfo,; Pullin, Jorge,
• TeilnehmendeR: Pullin, Jorge,
• Place / Publishing House: Cambridge, GBR : : Cambridge University Press,, 2001.
• Year of Publication: 2001
• Language: English
• Physical Description: 1 online resource (339 pages)

Providing a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity, this text reviews loop representation theory, Maxwell theory, Yang-Mills theories, lattice techniques, knot and braid theory, and describes applications in quantum gravity. A final chapter considers future prospects.

Table of Contents

1. Holonomies and the group of loops; 2. Loop coordinates and the extended group of loops; 3. The loop representation; 4. Maxwell theory; 5. Yang-Mills theories; 6. Lattice techniques; 7. Quantum gravity; 8. The loop representation of quantum theory; 9. Loop representation: further developments; 10. Knot theory and physical states of quantum gravity; 11. The extended loop representation of quantum gravity; 12. Conclusions: present status and outlook; References; Index.