Mathematical Gauge Theory

Explains the Standard Model to students of both mathematics and physics Covers both the specific gauge theory of the Standard Model and generalizations

Highly accessible and self-contained

Explains the Standard Model to students of both mathematics and physics Covers both the specific gauge theory of the Standard Model and generalizations Highly accessible and self-contained

Autorentext
Mark Hamilton has worked as a lecturer and interim professor at the University of Stuttgart and the Ludwig-Maximilian University of Munich. His research focus lies on geometric topology and mathematical physics, in particular, the differential topology of 4-manifolds and Seiberg-Witten theory.

Zusammenfassung
Explains the Standard Model to students of both mathematics and physics Covers both the specific gauge theory of the Standard Model and generalizations

Highly accessible and self-contained

Inhalt
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.