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Geometrodynamics of Gauge Fields: On the Geometry of Yang-Mills and Gravitational Gauge Theories (Mathematical Physics Studies) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
Eckehard Mielke has been Professor in the Department of Physics, Universidad Autónoma Metropolitana-Iztapalapa, Mexico since 1997. His work has covered the Wheeler-DeWitt equation, knot theory and wormholes, conformal changes of metrics, Poincaré gauge theory and its metric-affine generalizations, double dual solutions, topological models of gravity with Chern-Simons terms, Ashtekar variables, boson stars, dark matter, and inflationary cosmology.
He is the author of the Springer book "Sonne, Mond und .... Schwarze L ocher" (1997) (Sun, Moon and...Black Holes), a popular book offering a short trip through recent developments in astronomy.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2017
- ISBN 10 3319297325
- ISBN 13 9783319297323
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages390
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GEOMETRODYNAMICS OF GAUGE FIELDS (2933255971/ 10.02.17)
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Geometrodynamics Of Gauge Fields: On The Geometry Of Yang-Mills And Gravitational Gauge Theories
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Geometrodynamics of Gauge Fields
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ISBN 10: 3319297325
ISBN 13: 9783319297323
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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) Poincarégauge 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. 392 pp. Englisch. Seller Inventory # 9783319297323
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Geometrodynamics of Gauge Fields
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Springer International Publishing, 2017
ISBN 10: 3319297325
ISBN 13: 9783319297323
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A comprehensive revision of a classic text relating geometic field theory to modern physicsOffers an up-to-date overview of geometrodynamics including minimal topological modelsContains new chapters on teleparalelism, Chern-Simons-induced t. Seller Inventory # 112109300
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Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories
Published by
Springer International Publishing, 2017
ISBN 10: 3319297325
ISBN 13: 9783319297323
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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) Poincarégauge 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. Seller Inventory # 9783319297323
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Geometrodynamics of Gauge Fields: On the Geometry of Yang-Mills and Gravitational Gauge Theories (Mathematical Physics Studies)
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