Eckehard W. MielkeGeometrodynamics of Gauge Fields
On the Geometry of Yang-Mills and Gravitational Gauge Theories
Preface.- 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.
Preface.- 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.