01701nam a2200217Ia 4500 CTU_174325 210402s9999 xx 000 0 und d 72 530.143 G191 Gambini, Rodolfo. Loops, knots, gauge theories, and quantum gravity Rodolfo Gambini, Jorge Pullin Cambridge,New York Cambridge University Press 1996 Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. 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 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. Applications in quantum gravity are then discussed in detail. Following chapters move on to 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. Loops (Group theory),Gauge fields (Physics),Trọng lực lượng tử,Vòng (Lý thuyết nhóm),Trường Gauge,Quantum gravity Toán học,Mathematics Năm Trung tâm Học liệu Trường Đại học Cần Thơ