Noncommutative standard model: Difference between revisions

Revision as of 05:49, 29 July 2022

Revision as of 12:19, 4 August 2022

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The model postulates that space-time is the product of a 4-dimensional compact spin manifold <math>\mathcal{M}</math> by a finite space <math>\mathcal{F}</math>. The full Lagrangian (in Euclidean signature) of the [[Standard model]] minimally coupled to gravity is obtained as pure gravity over that product space. It is therefore close in spirit to [[Kaluza–Klein theory]] but without the problem of massive tower of states.

The parameters of the model live at unification scale and physical predictions are obtained by running the parameters down through [[Renormalizationrenormalization]].

It is worth stressing that it is more than a simple reformation of the [[Standard Model]]. For example, the scalar sector and the fermions representations are more constrained than in [[Effectiveeffective field theory]].

==Motivation==

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{{DEFAULTSORT:Noncommutative Standard Model}}

[[Category:ParticlePhysics physicsbeyond the Standard Model]]