Almost-Commutative Geometries Beyond the Standard Model

Details Almost-Commutative Geometries Beyond the Standard Model Almost-Commutative Geometries Beyond the Standard Model

2005-09-28

arxiv.org/abs/hep-th/0509213v1

J.Phys. A39 (2006) 9657

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0305-4470/39/30/016

In [7-9] and [10] the conjecture is presented that almost-commutative geometries, with respect to sensible physical constraints, allow only the standard model of particle physics and electro-strong models as Yang-Mills-Higgs theories. In this publication a counter example will be given. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model of particle physics and two new fermions of opposite electro-magnetic charge. This is the second Yang-Mills-Higgs model within noncommutative geometry, after the standard model, which could be compatible with experiments. Combined to a hydrogen-like composite particle these new particles provide a novel dark matter candidate.

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