Loops, Knots, Gauge Theories

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...

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Bibliographic Details
Other Authors: Gambini, Rodolfo, author (author), Pullin, Jorge, author
Format: eBook
Language:Inglés
Published: Cambridge, GBR : Cambridge University Press 2001.
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009746871106719
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.