Noncommutative Geometry and the Standard Model of Elementary Particle Physics -

Noncommutative Geometry and the Standard Model of Elementary Particle Physics

Buch | Hardcover
XII, 350 Seiten
2002 | 2002
Springer Berlin (Verlag)
978-3-540-44071-0 (ISBN)
106,99 inkl. MwSt
The outcome of a close collaboration between mathematicians and mathematical physicists, these lecture notes present the foundations of A. Connes noncommutative geometry as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike.

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.

Erscheint lt. Verlag 26.11.2002
Reihe/Serie Lecture Notes in Physics
Zusatzinfo XII, 350 p.
Verlagsort Berlin
Sprache englisch
Maße 156 x 234 mm
Gewicht 662 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Algebra • eigenvalue • Mathematical Physics • Mathematische Physik • Minkowski space • Particle physics
ISBN-10 3-540-44071-2 / 3540440712
ISBN-13 978-3-540-44071-0 / 9783540440710
Zustand Neuware
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