Loops Knots Gauge Theories


Loops Knots Gauge Theories
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Loops Knots Gauge Theories And Quantum Gravity


Loops Knots Gauge Theories And Quantum Gravity
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Author : Rodolfo Gambini
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-03

Loops Knots Gauge Theories And Quantum Gravity written by Rodolfo Gambini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-03 with Mathematics categories.


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 Knots Gauge Theories


Loops Knots Gauge Theories
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Author : Rodolfo Gambini
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-31

Loops Knots Gauge Theories written by Rodolfo Gambini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-31 with Science categories.


This volume provides a self-contained introduction to applications of loop representations in particle physics and quantum gravity, in order to explore the gauge invariant quantization of Yang-Mills theories and gravity. First published in 1996, this title has been reissued as an Open Access publication on Cambridge Core.



Loop Spaces Characteristic Classes And Geometric Quantization


Loop Spaces Characteristic Classes And Geometric Quantization
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Author : Jean-Luc Brylinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-30

Loop Spaces Characteristic Classes And Geometric Quantization written by Jean-Luc Brylinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-30 with Mathematics categories.


This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.



Covariant Loop Quantum Gravity


Covariant Loop Quantum Gravity
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Author : Carlo Rovelli
language : en
Publisher: Cambridge University Press
Release Date : 2015

Covariant Loop Quantum Gravity written by Carlo Rovelli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Science categories.


A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.



Time The Instant


Time The Instant
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Author : Robin Durie
language : en
Publisher: Clinamen Press
Release Date : 2000

Time The Instant written by Robin Durie and has been published by Clinamen Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.


Debating the nature of time, this collection of essays includes both the physicist's and the philosopher's viewpoint, questioning whether time exists, whether it is absolute or relative and whether it is continuous or fragmented.



Loop Spaces Characteristic Classes And Geometric Quantization


Loop Spaces Characteristic Classes And Geometric Quantization
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Author : Jean-Luc Brylinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-15

Loop Spaces Characteristic Classes And Geometric Quantization written by Jean-Luc Brylinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-15 with Mathematics categories.


This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.



Differential Geometry Gauge Theories And Gravity


Differential Geometry Gauge Theories And Gravity
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Author : M. Göckeler
language : en
Publisher: Cambridge University Press
Release Date : 1989-07-28

Differential Geometry Gauge Theories And Gravity written by M. Göckeler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-07-28 with Mathematics categories.


Cambridge University Press is committed to keeping scholarly work in print for as long as possible. A short print-run of this academic paperback has been produced using digital technology. This technology has enabled Cambridge to keep the book in print for specialists and students when traditional methods of reprinting would not have been feasible. While the new digital cover differs from the original, the text content is identical to that of previous printings.



Noncovariant Gauges


Noncovariant Gauges
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Author : George Leibbrandt
language : en
Publisher: World Scientific
Release Date : 1994

Noncovariant Gauges written by George Leibbrandt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.


Some of the most effective gauges in field theory are noncovariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. The principal advantage of these gauges stems from the decoupling of the fictitious particles in the theory. The purpose of this volume is to give a clear and readable account of the basic features and mathematical subtleties of these ghost-free gauges, and of their truly enormous range of applicability.In addition to explicit one-loop computations in Yang-Mills and Chern-Simons theory, the book contains detailed analysis of the unifield-gauge formalism and of the renormalization of Yang-Mills theory in the presence of nonlocal terms.



Encyclopedia Of Mathematical Physics


Encyclopedia Of Mathematical Physics
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Author : Jean-Pierre Françoise
language : en
Publisher: Academic Press
Release Date : 2006

Encyclopedia Of Mathematical Physics written by Jean-Pierre Françoise and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy.



Theoretical Physics


Theoretical Physics
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Author : George Leibbrandt
language : en
Publisher: American Institute of Physics
Release Date : 2002-11-25

Theoretical Physics written by George Leibbrandt and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-25 with Science categories.


MRST 2002 is the 24th in an ongoing series of annual meetings that brings together an international group of researchers clustered around the Universities of Montreal/McGill, Rochester, Syracuse, and Toronto working on various aspects of theoretical high energy physics. This year features discussions on a wider than usual scope of interrelated topics, with invited talks ranging from the latest developments in cosmic microwave background radiation research and the solar neutrino puzzle to the Bekenstein bound in quantum gravity and the AdS/CFT conjecture in string theory. The main purpose is to encourage increased interaction between traditionally separate but clearly overlapping research sub-disciplines. This was the first conference to be hosted by the new Perimeter Institute for Theoretical Physics, and was held in memory of George Leibbrandt, who played a vital role in all aspects of the founding of the Institute and served on its Board of Directors.