Geometrodynamics of Gauge Fields On the Geometry of Yang-Mills and Gravitational Gauge Theories /

• Main Author: Mielke, Eckehard W. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Series: Mathematical Physics Studies,
• Subjects: Physics.; Mathematical physics.; Gravitation.; Elementary particles (Physics).; Quantum field theory.; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Physics.; Elementary Particles, Quantum Field Theory.

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...

Table of Contents:

• 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.