Mark J. D. Hamilton

Mathematical Gauge Theory (eBook, PDF)

With Applications to the Standard Model of Particle Physics

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 658
• Erscheinungstermin: 6. Dezember 2017
• Englisch
• ISBN-13: 9783319684390
• Artikelnr.: 53063909

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

"Assuming an introductory course on differential geometry and some basic knowledge of special relativity, both of which are summarized in the appendices, the book expounds the mathematical background behind the well-established standard model of modern particle and high energy physics... I believe that the book will be a standard textbook on the standard model for mathematics-oriented students." (Hirokazu Nishimura, zbMATH 1390.81005)