Geometrodynamics of Gauge Fields is popular PDF and ePub book, written by Eckehard W. Mielke in 2017-01-22, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Geometrodynamics of Gauge Fields can be Read Online from any device for your convenience.
Geometrodynamics of Gauge Fields Book PDF Summary
This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.
Detail Book of Geometrodynamics of Gauge Fields PDF
- Author : Eckehard W. Mielke
- Release : 22 January 2017
- Publisher : Springer
- ISBN : 9783319297347
- Genre : Science
- Total Page : 377 pages
- Language : English
- PDF File Size : 7,8 Mb
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