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Loops, knots, gauge theories, and quantum gravity / Rodolfo Gambini, Jorge Pullin

Tác giả : Rodolfo Gambini, Jorge Pullin

Nhà xuất bản : Cambridge University Press

Năm xuất bản : 1996

Nơi xuất bản : New York

Mô tả vật lý : xvi, 321 p. : ill. ; 26 cm

ISBN : 0521654750

Số phân loại : 530.143

Tùng thư : Cambridge monographs on mathematical physics

Chủ đề : 1. Trọng lực lượng tử -- Toán học. 2. Trường Gauge. 3. Vòng (Lý thuyết nhóm). 4. Gauge fields (Physics). 5. Loops (Group theory). 6. Quantum gravity -- Mathematics. 7. Lý thuyết từ trường. 8. Trường lượng tử.

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Tóm tắt :

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.

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