Geometrodynamics of Gauge Fields Ebook

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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 Einsteins theory of gravity arise in a Riemann-Cartan space with curvature and torsion It provides the framework in which the broken Poincar 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 Einsteins 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 detailGeometrodynamics of Gauge Fields EbookOn the Geometry of Yang-Mills and Gravitational Gauge Theories By Eckehard W Mielke Publisher Springer Print ISBN 9783319297323 3319297325 eText ISBN 9783319297347 3319297341 Edition 2nd Copyright year 2017 Format PDF Available from 12900 USD SKU 9783319297347

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9783319297323

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 Einsteins theory of gravity arise in a Riemann-Cartan space with curvature and torsion It provides the framework in which the broken Poincar 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 Einsteins 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 detailGeometrodynamics of Gauge Fields EbookOn the Geometry of Yang-Mills and Gravitational Gauge Theories By Eckehard W Mielke Publisher Springer Print ISBN 9783319297323 3319297325 eText ISBN 9783319297347 3319297341 Edition 2nd Copyright year 2017 Format PDF Available from 12900 USD SKU 9783319297347