Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-25
Phys.Rev.Lett.99:191601,2007
Physics
High Energy Physics
High Energy Physics - Theory
Title change only. The title "A Dress for SM the Beggar" was changed by the Editor of Physical Review Letters
Scientific paper
10.1103/PhysRevLett.99.191601
The purpose of this letter is to remove the arbitrariness of the ad hoc choice of the algebra and its representation in the noncommutative approach to the Standard Model, which was begging for a conceptual explanation. We assume as before that space-time is the product of a four-dimensional manifold by a finite noncommmutative space F. The spectral action is the pure gravitational action for the product space. To remove the above arbitrariness, we classify the irreducibe geometries F consistent with imposing reality and chiral conditions on spinors, to avoid the fermion doubling problem, which amounts to have total dimension 10 (in the K-theoretic sense). It gives, almost uniquely, the Standard Model with all its details, predicting the number of fermions per generation to be 16, their representations and the Higgs breaking mechanism, with very little input. The geometrical model is valid at the unification scale, and has relations connecting the gauge couplings to each other and to the Higgs coupling. This gives a prediction of the Higgs mass of around 170 GeV and a mass relation connecting the sum of the square of the masses of the fermions to the W mass square, which enables us to predict the top quark mass compatible with the measured experimental value. We thus manage to have the advantages of both SO(10) and Kaluza-Klein unification, without paying the price of plethora of Higgs fields or the infinite tower of states.
Chamseddine Ali H.
Connes Alain
No associations
LandOfFree
Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-230576