
Geometrodynamics of gauge fields
By Eckehard W. Mielke
Subjects: Geometrodynamics, Gauge fields (Physics), Geodynamics
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.
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