Geometrodynamics of Gauge fields
Subtitle: On the Geometry of Yang-Mills and gravitational Gauge Theories
By: by Eckehard W. Mielke.
Series: Physical research;; Vol.. 3
Publisher: Akademie-Verlag
Published: 1987
Place of publication: Berlin
Language: eng
Number of pages: 242
Subjects: Gauge fields (Physics); Geometrodynamics.
Description: This monograph is aiming at 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 mathemarical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included as applications.

By transferring these concepts to local space-time symmetries, generalizations of Einstein' theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the Poincarè gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are treated.
Notes: Bibliography: p. 193-242.
"Reproduction of the original author's manuscript."--T.P. verso.