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Noncommutative Geometry and Particle Physics

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/t...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: van Suijlekom, Walter D. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
Édition:1st ed. 2015.
Collection:Mathematical Physics Studies,
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • Preface
  • Introduction
  • Part 1. Noncommutative geometric spaces
  • Finite noncommutative spaces
  • Finite real noncommutative spaces
  • Noncommutative Riemannian spin manifolds
  • The local index formula in noncommutative geometry
  • Part 2. Noncommutative geometry and gauge theories
  • Gauge theories from noncommutative manifolds
  • Spectral invariants
  • Almost-commutative manifolds and gauge theories
  • The noncommutative geometry of electrodynamics
  • The noncommutative geometry of Yang-Mills fields
  • The noncommutative geometry of the Standard Model
  • Phenomenology of the noncommutative Standard Model
  • Bibliography.