Loops Knots Gauge Theories And Quantum Gravity
Download Loops Knots Gauge Theories And Quantum Gravity full books in PDF, epub, and Kindle. Read online free Loops Knots Gauge Theories And Quantum Gravity ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Rodolfo Gambini |
Publisher | : Cambridge University Press |
Total Pages | : 344 |
Release | : 2000-07-03 |
Genre | : Mathematics |
ISBN | : 9780521654753 |
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.
Author | : Rodolfo Gambini |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 1009290193 |
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.
Author | : John C Baez |
Publisher | : World Scientific Publishing Company |
Total Pages | : 481 |
Release | : 1994-10-24 |
Genre | : Science |
ISBN | : 9813103248 |
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
Author | : Associate Professor Department of Mathematics John C Baez |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 465 |
Release | : 1994 |
Genre | : Science |
ISBN | : 9789810217297 |
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
Author | : Carlo Rovelli |
Publisher | : Cambridge University Press |
Total Pages | : 267 |
Release | : 2015 |
Genre | : Science |
ISBN | : 1107069629 |
A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.
Author | : Yuri Makeenko |
Publisher | : Cambridge University Press |
Total Pages | : 433 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 1009402056 |
Author | : Steven Carlip |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 2003-12-04 |
Genre | : Science |
ISBN | : 9780521545884 |
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author | : Carlo Rovelli |
Publisher | : Cambridge University Press |
Total Pages | : 516 |
Release | : 2007-11-29 |
Genre | : Science |
ISBN | : 1139456156 |
Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.
Author | : Robbert Dijkgraaf |
Publisher | : World Scientific |
Total Pages | : 351 |
Release | : 1994-08-19 |
Genre | : |
ISBN | : 9814566675 |
Contents:Black Hole Evaporation and Quantum Gravity (K Schoutens et al.)A String Project in Multicolor QCD (V Kazakov)Matrix Models and String Theory (K Demeterfi & I Klebanov)Developments in 2D String Theory (A Jevicki)Exact Results for Two-Dimensional N = 2 Supersymmetric Theories — An Introduction to the tt∗ Equations (S Cecotti)Perturbative Topological Field Theory (R Dijkgraaf)Barriers in Quantum Gravity (J Ambjørn)Two-Dimensional Black Hole and Nonperturbative String Theory (A Dhar)U(N) Gauge Theory and Lattice Strings (I K Kostov)Quantization of Mirror Symmetry (H Ooguri)W-Strings 93 (C N Pope)Applications of O(d,d) Transformations to Generate New Geometries (S P Khastgir & J Maharana) Readership: High energy physicists. keywords:
Author | : M. Göckeler |
Publisher | : Cambridge University Press |
Total Pages | : 248 |
Release | : 1989-07-28 |
Genre | : Mathematics |
ISBN | : 9780521378215 |
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.