arXiv subjects

Bruno Iochum

Publications and source records attributed to Bruno Iochum.

24 records · Page 2Linked to original sources

arXiv1996

On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?

Connes has extended Einstein's principle of general relativity to noncommutative geometry. The new principle implies that the Dirac operator is covariant with respect to Lorentz and internal gauge transformations and the Dirac operator must include Yukawa couplings. It further implies that the action for the metric, the gauge potentials and the Higgs scalar is coded in the spectrum of the covariant Dirac operator. This ``universal'' action has been computed by Chamseddine & Connes, it is the coupled Einstein-Hilbert and Yang-Mills-Higgs action. This result is rederived and we discuss the physical consequences.

hep-th↗

arXiv1996

On the universal Chamseddine-Connes action 1. Details of the action computation

We give the details of the computation of the Chamseddine-Connes action by combination of a Lichnerowicz formula with the heat kernel expension.

hep-th↗

arXiv1996

The Noncommutative Constraints on the Standard Model à la Connes

Noncommutative geometry applied to the standard model of electroweak and strong interactions was shown to produce fuzzy relations among masses and gauge couplings. We refine these relations and show then that they are exhaustive.

hep-th↗

arXiv1995

Riemannian and Non-commutative Geometry in Physics

We feel that non-commutative geometry is to particle physics what Riemannian geometry is to gravity. We try to explain this feeling.

hep-th↗

arXiv1995

Fuzzy Mass Relations in the Standard Model

Recently Connes has proposed a new geometric version of the standard model including a non-commutative charge conjugation. We present a systematic analysis of the relations among masses and coupling constants in this approach. In particular, for a given top mass, the Higgs mass is constrained to lie in an interval. Therefore this constraint is locally stable under renormalization flow.

hep-th↗

arXiv1994

A Left-Right Symmetric Model a la Connes-Lott

We present a left-right symmetric model with gauge group $U(@)_L\times U(@)_R$ in the Connes-Lott non-commutative frame work. Its gauge symmetry is broken spontaneously, parity remains unbroken.

hep-th↗