Noncommutative Geometry and the Standard Model of Elementary Particle Physics

364 Seiten, Hardcover

Kurzbeschreibung des Verlags

Foundations of Noncommutative Geometry and Basic Model Building.- Spectral Triples and Abstract Yang-Mills Functional.- Real Spectral Triples and Charge Conjugation.- The Commutative Case: Spinors, Dirac Operator and de Rham Algebra.- Connes' Trace Formula and Dirac Realization of Maxwell and Yang-Mills Action.- The Einstein-Hilbert Action as a Spectral Action.- Spectral Action and the Connes-Chamsedinne Model.- The Lagrangian of the Standard Model Derived from Noncommutative Geometry.- Dirac Operator and Real Structure on Euclidean and Minkowski Spacetime.- The Electro-weak Model.- The Full Standard Model.- Standard Model Coupled with Gravity.- The Higgs Mechanism and Spontaneous Symmetry Breaking.- New Directions in Noncommutative Geometry and Mathematical Physics.- The Impact of NC Geometry in Particle Physics.- The su(2|1) Model of Electroweak Interactions and Its Connection to NC Geometry.- Quantum Fields and Noncommutative Spacetime.- NC Geometry and Quantum Fields: Simple Examples.- Dirac Eigenvalues as Dynamical Variables.- Hopf Algebras in Renormalization and NC Geometry.- NC Geometry of Strings and Duality Symmetry.

• Reihe: Lecture Notes in Physics
• Themen: Mathematik und Naturwissenschaften Physik Mathematische / Computergestützte / Theoretische Physik
• ISBN: 9783540440710
• Sprache: Englisch
• Erscheinungsdatum: 26.11.2002
• Größe: 241 x 160 mm
• Verlag: Springer Vieweg
• Herausgegeben von: Harald Upmeier, Florian Scheck, Wend Werner