Geometrodynamics of Gauge Fields: On the Geometry of Yang-Mills and Gravitational Gauge Theories 2nd ed. 2017 Edition

Ebook Details


Eckehard W. Mielke

Year 2017
Pages 373
Publisher Springer
Language en
ISBN 9783319297323
File Size 2.97 MB
File Format PDF
Download Counter 138
Amazon Link

Ebook Description

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.