Author: W. DrechslerPublisher: Springer
ISBN: 9783662214657
Category : Science
Languages : en
Pages : 251
Book Description
Fiber Bundle Techniques in Gauge Theories
Author: W. DrechslerPublisher: Springer
ISBN: 9783662214657
Category : Science
Languages : en
Pages : 251
Book Description
Fiber bundle techniques in gauge theories
Author: Wolfgang DrechslerFiber Bundle Techniques in Gauge Theories
Author: W. DrechslerGauge Theory for Fiber Bundles
Author: Peter W. MichorPublisher: Amer Inst of Physics
ISBN: 9788870882476
Category : Science
Languages : en
Pages : 107
Book Description
Fiber Bundle Techniques in Gauge Theories
Author: W. DrechslerPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 262
Book Description
Fibre Bundle Techniques in Gauge Theories. Lectures in Mathematical Phics at the University of Texas at Austin in 1976 & 1977
Author: W. DrechslerGauge Theory and Variational Principles
Author: David BleeckerPublisher: Courier Corporation
ISBN: 0486151875
Category : Science
Languages : en
Pages : 202
Book Description
This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.
Geometric Techniques in Gauge Theories
Author: R. MartiniPublisher: Springer
ISBN: 3540391924
Category : Mathematics
Languages : en
Pages : 231
Book Description
Loops, Knots, Gauge Theories and Quantum Gravity
Author: Rodolfo GambiniPublisher: Cambridge University Press
ISBN: 9780521654753
Category : Mathematics
Languages : en
Pages : 344
Book Description
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.
Gauge-Natural Bundles and Generalized Gauge Theories
Author: David J. EckPublisher: American Mathematical Soc.
ISBN: 0821822470
Category : Fiber bundles
Languages : en
Pages : 57
Book Description
The concept of gauge-natural bundles is introduced. They are a generalization of natural bundles and they provide a natural formal context for the discussion of gauge field theories. It is shown that such bundles correspond to actions of certain Lie groups on smooth manifolds and that natural differential operators between them correspond to equivariant maps. Some results of classical gauge theory are reformulated and reproved in the language of gauge-natural bundles, including a theorem of Utiyama which describes first order gauge-invariant Lagrangians on the bundle of connections of a principal bundle.