GEOMETRODYNAMICS OF GAUGE FIELDS 2ND EDITION
8,879.26₹ 11,099.00₹
- Author: ECKEHARD W. MIELKE
- ISBN: 9783319297323
- Availability: In Stock
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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.
Since the discovery of the Higgs boson, concepts of
spontaneous symmetry breaking in gravity have come again into focus, and,
in this revised edition, these will be exposed in geometric terms.
Quantizing gravity remains an open issue: formulating it as a de Sitter type
gauge theory in the spirit of Yang-Mills, some new progress in its topological
form is presented. After symmetry breaking, Einstein’s standard general
relativity with cosmological constant emerges as a classical background. The
geometrical structure of BRST quantization with non-propagating topological
ghosts is developed in some detail.