Mathematical Gauge Theory With Applications to the Standard Model of Particle Physics /

• Κύριος συγγραφέας: Hamilton, Mark J.D (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Manifolds (Mathematics).; Complex manifolds.; Physics.; Elementary particles (Physics).; Quantum field theory.; Manifolds and Cell Complexes (incl. Diff.Topology).; Elementary Particles, Quantum Field Theory.; Mathematical Methods in Physics.; Topological Groups, Lie Groups.

The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie grou...

Πίνακας περιεχομένων:

• 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.