514.34 Hamilton, Mark J.D. Mathematical Gauge Theory With Applications to the Standard Model of Particle Physics / by Mark J.D. Hamilton. - XVIII, 658 p. 40 illus. online resource. - (Universitext, ) Content notes : Part I Mathematical foundations -- 1 Lie groups and Lie algebras: Basic concepts -- 2 Lie groups and Lie algebras: Representations and structure theory -- 3 Group actions -- 4 Fibre bundles -- 5 Connections and curvature -- 6 Spinors -- Part II The Standard Model of elementary particle physics -- 7 The classical Lagrangians of gauge theories -- 8 The Higgs mechanism and the Standard Model -- 9 Modern developments and topics beyond the Standard Model -- Part III Appendix -- A Background on differentiable manifolds -- B Background on special relativity and quantum field theory -- References -- Index. 9783319684390 * Cell aggregation - Mathematics. Quantum theory. Mathematical physics. Topological Groups. Manifolds and Cell Complexes (incl. Diff.Topology). Elementary Particles, Quantum Field Theory. Mathematical Methods in Physics. Topological Groups, Lie Groups. * Series