The Gravitational Sector in the Connes-Lott Formulation of the Standard Model

Details The Gravitational Sector in the Connes-Lott Formulation of the Standard Model The Gravitational Sector in the Connes-Lott Formulation of the Standard Model

1995-03-14

arxiv.org/abs/hep-th/9503093v1

J.Math.Phys.36:6255-6275,1995

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 29 pages

Scientific paper

10.1063/1.531243

We study the Riemannian aspect and the Hilbert-Einstein gravitational action of the non-commutative geometry underlying the Connes-Lott construction of the action functional of the standard model. This geometry involves a two-sheeted, Euclidian space-time. We show that if we require the space of forms to be locally isotropic and the Higgs scalar to be dynamical, then the Riemannian metrics on the two sheets of Euclidian space-time must be identical. We also show that the distance function between the two sheets is determined by a single, real scalar field whose VEV sets the weak scale.

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