Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories
Cham : Springer International Publishing : Imprint: Springer, 2017
Abstract/Sommario:
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 a ...; [leggi tutto]
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| Descrizione | Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories / by Eckehard W. Mielke. - 2nd ed. 2017. - Cham : Springer International Publishing : Imprint: Springer, 2017. - XVII, 373 p. 18 ill., 8 ill. in color ; online resource. - (Mathematical Physics Studies) |
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Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang’s theory of gravity -- 8 BRST quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5;R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups. - Springer eBooks. - Printed edition: 9783319297323
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| ID scheda | 139152 |
| Permalink | https://www.opac.inaf.it/?ids=139152 |