Loops, knots, gauge theories, and quantum gravity /
Gambini, Rodolfo,
Loops, knots, gauge theories, and quantum gravity / Loops, Knots, Gauge Theories & Quantum Gravity Rodolfo Gambini, Jorge Pullin. - Cambridge : Cambridge University Press, 1996. - 1 online resource (xvi, 321 pages) : digital, PDF file(s). - Cambridge monographs on mathematical physics . - Cambridge monographs on mathematical physics. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511524431 (ebook)
Quantum gravity--Mathematics.
Loops (Group theory)
Knot theory.
Gauge fields (Physics)
Quantum field theory.
QC178 / .G36 1996
530.1/43
Loops, knots, gauge theories, and quantum gravity / Loops, Knots, Gauge Theories & Quantum Gravity Rodolfo Gambini, Jorge Pullin. - Cambridge : Cambridge University Press, 1996. - 1 online resource (xvi, 321 pages) : digital, PDF file(s). - Cambridge monographs on mathematical physics . - Cambridge monographs on mathematical physics. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511524431 (ebook)
Quantum gravity--Mathematics.
Loops (Group theory)
Knot theory.
Gauge fields (Physics)
Quantum field theory.
QC178 / .G36 1996
530.1/43