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Physics : Classical and Quantum Gravitation, Relativity Theory

Mielke, Eckehard W. Geometrodynamics of Gauge Fields On the Geometry of Yang-Mills and Gravitational Gauge Theories

A comprehensive revision of a classic text relating geometic field theory to modern physics Offers an up-to-date overview of geometrodynamics including minimal topological models Contains new chapters on teleparalelism, Chern-Simons-induced topological 3D gravity and supergravity, quantization via topological ghosts, constrained BF model with SL (5, R) gauge group, and chiral and trace anomalies Provides a detailed exposition of frame bundles in gravity Springer This monograph aims to provide a unified, geometrical foundation of gauge theories of 2nd ed. 2017, XVII, 373 p. elementary particle physics. The underlying geometrical structure is unfolded in a coordinate- 2nd 18 illus., 8 illus. in color. free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics edition 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 Printed book provides the framework in which the (broken) Poincarégauge theory, the Rainich geometrization Hardcover of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are Printed book 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 Hardcover exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de ISBN 978-3-319-29732-3 Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is £ 109,99 | CHF 141,50 | 119,99 € | presented. After symmetry breaking, Einstein’s standard general relativity with cosmological 131,99 € (A) | 128,39 € (D) constant emerges as a classical background. The geometrical structure of BRST quantization Available with non-propagating topological ghosts is developed in some detail. Discount group Science (SC) Order online at springer.com/booksellers Product category Springer Nature Customer Service Center GmbH Monograph Customer Service Series Tiergartenstrasse 15-17 69121 Heidelberg Mathematical Physics Studies Germany Other renditions T: +49 (0)6221 345-4301 Softcover [email protected] ISBN 978-3-319-29733-0 Softcover ISBN 978-3-319-80638-9

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ISBN 978-3-319-29732-3 / BIC: PHR / SPRINGER NATURE: SCP19070 Part of