Noncommutative Geometry and Particle Physics

• Main Author: van Suijlekom, Walter D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
• Series: Mathematical Physics Studies,
• Subjects: Physics.; Algebraic geometry.; Mathematical physics.; Elementary particles (Physics).; Quantum field theory.; Mathematical Methods in Physics.; Mathematical Physics.; Elementary Particles, Quantum Field Theory.; Algebraic Geometry.

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...

Table of Contents:

• 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.