Vortragsveranstaltung
Seminar des SFB 647
Dr. Christoph Stephan, Dr. Wellington Galleas
1.12.2009, 16:00 Uhr – 19:00 Uhr
Urania Berlin e. V.
An der Urania 17
10787 Berlin
Room: Loft
Vortrag
Noncommutative Geometry, Spectral Geometry and Particle Physics
Dr. Christoph Stephan
1.12.2009, 16:00 Uhr – 17:00 Uhr
Urania Berlin e. V.
An der Urania 17
10787 Berlin
Room: Loft
Alain Connes' noncommutative geometry (NCG) allows to unify the classical Yang-Mills-Higgs theory and General relativity in a single geometrical framework. Much of the physical information of particle models is obtained by the "spectral action" which can be computed from the eigenvalues of the generalised Dirac operator. This unification implies restrictions on the couplings of the Standard Model (SM) at a given cut-off energy. This reduces the number of free parameters, compared to the classical SM.
I will give an introduction to the basic ideas of NCG, of the spectral action and its application to particle physics. Furthermore I plan to present an overview of the most recent developments (particle model building in NCG, Dirac operators with torsion, etc.) and I will also comment on latest experimental data relevant to the NCG frame work.
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