Loops, knots, gauge theories and quantum gravity

This volume provides a self-contained introduction to applications of loop representations, and the related topic of knot theory, in particle physics and quantum gravity. These topics are of considerable interest because they provide a unified arena for the study of the gauge invariant quantization...

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Bibliographic Details
Other Authors: Gambini, Rodolfo, author (author), Pullin, Jorge, author
Format: eBook
Language:Inglés
Published: Cambridge : Cambridge University Press 2022.
Edition:First edition
Series:Cambridge monographs on mathematical physics.
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009769407006719
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.