117 citations · 564 across the 26 of their papers we have counts for
26 papers
Noncommutative Geometry in the LHC-Era
Christoph A. Stephan
Noncommutative geometry allows to unify the basic building blocks of particle physics, Yang-Mills-Higgs theory and General relativity, into a single geometrical framework. The resu…
A Dark Sector Extension of the Almost-Commutative Standard Model
Christoph A. Stephan
We consider an extension of the Standard Model within the frame work of Noncommutative Geometry. The model is based on an older model [St09] which extends the Standard Model by new…
Chiral Asymmetry and the Spectral Action
Frank Pfaeffle, Christoph A. Stephan
We consider orthogonal connections with arbitrary torsion on compact Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators and Dirac operators of Chamseddi…
The Holst Action by the Spectral Action Principle
Frank Pfaeffle, Christoph A. Stephan
We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst a…
On Gravity, Torsion and the Spectral Action Principle
Frank Pfaeffle, Christoph A. Stephan
We consider compact Riemannian spin manifolds without boundary equipped with orthogonal connections. We investigate the induced Dirac operators and the associated commutative spect…
The Spectral Action for Dirac Operators with skew-symmetric Torsion
Florian Hanisch, Frank Pfaeffle, Christoph A. Stephan
We derive a formula for the gravitational part of the spectral action for Dirac operators on 4-dimensional manifolds with totally anti-symmetric torsion. We find that the torsion b…