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Loops, knots, gauge theories and quantum gravity par Gambini, Rodolfo. Publication : [S.l.] Cambridge University Press 2000 . 321p. , 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. 24 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Lecture notes on Chern-Simons-Witten theory / par Hu, Sen. Publication : Singapore ; | River Edge, NJ : World Scientific, 2001 . 200 pages : , Based in part on lectures presented by E. Witten at Princeton University in the spring of 1989. 23 cm Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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