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Loops, Knots, Gauge Theories and Quantum Gravity (Hardcover)
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Loops, Knots, Gauge Theories and Quantum Gravity (Hardcover)
Series: Cambridge Monographs on Mathematical Physics
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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 of Yang-Mills theories
and gravity, and suggest a promising approach to the eventual
unification of the four fundamental forces. The book begins with a
detailed review of loop representation theory and then describes
loop representations in Maxwell theory, Yang-Mills theories as well
as lattice techniques. Applications in quantum gravity are then
discussed, with the following chapters considering 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. First
published in 1996, this title has been reissued as an Open Access
publication on Cambridge Core.
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