Noncommutative Geometry and the Standard Model of Elementary Particle Physics (Lecture Notes in Physics, Band 596) - Softcover

 
9783642078972: Noncommutative Geometry and the Standard Model of Elementary Particle Physics (Lecture Notes in Physics, Band 596)
Softcover
ISBN 10: 3642078974 ISBN 13: 9783642078972
Verlag: Springer, 2010

Inhaltsangabe

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.

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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.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642078974
ISBN 13 
9783642078972
Einband
Taschenbuch
Anzahl der Seiten
364
Herausgeber
Scheck Florian, Werner Wend, Upmeier Harald
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783540440710: Noncommutative Geometry and the Standard Model of Elementary Particle Physics (Lecture Notes in Physics, 596, Band 596)

Vorgestellte Ausgabe

ISBN 10:  3540440712 ISBN 13:  9783540440710
Verlag: Springer, 2002
Hardcover