LEADER 04314nam 22006015 450 001 9910163026603321 005 20200703132423.0 010 $a3-319-29734-1 024 7 $a10.1007/978-3-319-29734-7 035 $a(CKB)3710000001045327 035 $a(DE-He213)978-3-319-29734-7 035 $a(MiAaPQ)EBC4797405 035 $a(PPN)198868774 035 $a(EXLCZ)993710000001045327 100 $a20170201d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometrodynamics of Gauge Fields $eOn the Geometry of Yang-Mills and Gravitational Gauge Theories /$fby Eckehard W. Mielke 205 $a2nd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XVII, 373 p. 18 illus., 8 illus. in color.) 225 1 $aMathematical Physics Studies,$x0921-3767 311 $a3-319-29732-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPreface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang?s theory of gravity -- 8 BRST quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5;R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups. 330 $aThis monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein?s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail. 410 0$aMathematical Physics Studies,$x0921-3767 606 $aGravitation 606 $aMathematical physics 606 $aElementary particles (Physics) 606 $aQuantum field theory 606 $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 615 0$aGravitation. 615 0$aMathematical physics. 615 0$aElementary particles (Physics). 615 0$aQuantum field theory. 615 14$aClassical and Quantum Gravitation, Relativity Theory. 615 24$aMathematical Physics. 615 24$aElementary Particles, Quantum Field Theory. 676 $a530.1435 700 $aMielke$b Eckehard W$4aut$4http://id.loc.gov/vocabulary/relators/aut$049300 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910163026603321 996 $aGeometrodynamics of Gauge Fields$9338880 997 $aUNINA