Noncommutative geometry and the standard model of elementary particle physics
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...
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| Autore principale: | |
|---|---|
| Altri autori: | , |
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in physics
596 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Actes d'une conférence tenue à Hesselberg du 14 au 19 mars 1999, d'après la préface Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Noncommutative geometry and the standard model of elementary particle physics, F. Scheck, W. Werner, H. Upmeier (eds.), 2002, New York, Springer, 1 vol. (XII-346 p.), Lecture notes in physics, 3-540-44071-2 • Noncommutative Geometry and the Standard Model of Elementary Particle Physics, Texte imprimé, 9783642078972 • Noncommutative Geometry and the Standard Model of Elementary Particle Physics, Texte imprimé, 9783662143599 |
Sommario:
- 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.