scholarly journals Comments about higgs fields, noncommutative geometry, and the standard model

2007 ◽  
pp. 27-50 ◽  
Author(s):  
G. Cammarata ◽  
R. Coquereaux
Keyword(s):  
Standard Model ◽  
Noncommutative Geometry ◽  
The Standard Model ◽  
Higgs Fields

scholarly journals SO(10) UNIFICATION IN NONCOMMUTATIVE GEOMETRY REVISITED

1999 ◽  
Vol 14 (04) ◽  
pp. 559-588 ◽  
Author(s):  
RAIMAR WULKENHAAR
Keyword(s):  
Standard Model ◽  
Noncommutative Geometry ◽  
Mass Term ◽  
Tree Level ◽  
Model Structure ◽  
Fermion Masses ◽  
The Standard Model ◽  
The Right ◽  
Higgs Fields ◽  
Algebraic Formulation

We investigate the SO(10) unification model in a Lie-algebraic formulation of noncommutative geometry. The SO(10) symmetry is broken by a 45-Higgs and the Majorana mass term for the right neutrinos (126-Higgs) to the standard model structure group. We study the case where the fermion masses are as general as possible, which leads to two 10-multiplets, four 120-multiplets and two additional 126-multiplets of Higgs fields. This Higgs structure differs considerably from the two Higgs multiplets 16 ⊗ 16* and 16c ⊗ 16* used by Chamseddine and Fröhlich. We find the usual tree level predictions of noncommutative geometry: [Formula: see text], [Formula: see text] and g2=g3 as well as mH≤ mt.

Extension of Standard Model in multi-spinor field formalism — Visible and dark sectors

2016 ◽  
Vol 31 (18) ◽  
pp. 1630027
Author(s):  
Ikuo S. Sogami
Keyword(s):  
Dark Matter ◽  
Standard Model ◽  
Dark Sector ◽  
Quadratic Interaction ◽  
Inflationary Phase ◽  
The Standard Model ◽  
Visible Sector ◽  
Field Formalism ◽  
Main Component ◽  
Higgs Fields

With multi-spinor fields which behave as triple-tensor products of the Dirac spinors, the Standard Model is extended so as to embrace three families of ordinary quarks and leptons in the visible sector and an additional family of exotic quarks and leptons in the dark sector of our Universe. Apart from the gauge and Higgs fields of the Standard Model symmetry G, new gauge and Higgs fields of a symmetry isomorphic to G are postulated to exist in the dark sector. It is the bi-quadratic interaction between visible and dark Higgs fields that opens a main portal to the dark sector. Breakdowns of the visible and dark electroweak symmetries result in the Higgs boson with mass 125 GeV and a new boson which can be related to the diphoton excess around 750 GeV. Subsequent to a common inflationary phase and a reheating period, the visible and dark sectors follow weakly-interacting paths of thermal histories. We propose scenarios for dark matter in which no dark nuclear reaction takes place. A candidate for the main component of the dark matter is a stable dark hadron with spin 3/2, and the upper limit of its mass is estimated to be 15.1 GeV/c2.

scholarly journals WHAT KIND OF NONCOMMUTATIVE GEOMETRY FOR QUANTUM GRAVITY?

2005 ◽  
Vol 20 (17n18) ◽  
pp. 1315-1326 ◽  
Author(s):  
PIERRE MARTINETTI
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Noncommutative Geometry ◽  
Thermal Time ◽  
The Standard Model

We give a brief account of the description of the standard model in noncommutative geometry as well as the thermal time hypothesis, questioning their relevance for quantum gravity.

scholarly journals NEUTRINO MASS AND THE STANDARD MODEL

2013 ◽  
Vol 28 (05) ◽  
pp. 1350010 ◽  
Author(s):  
F. R. KLINKHAMER
Keyword(s):  
Standard Model ◽  
Neutrino Mass ◽  
Grand Unification ◽  
Neutrino Masses ◽  
Ultimate Explanation ◽  
The Standard Model ◽  
Interaction Term ◽  
Minimal Standard ◽  
First Time ◽  
Higgs Fields

It is pointed out (not for the first time) that the minimal Standard Model, without additional gauge-singlet right-handed neutrinos or isotriplet Higgs fields, allows for nonvanishing neutrino masses and mixing. The required interaction term is non-renormalizable and violates B-L conservation. The ultimate explanation of this interaction term may or may not rely on grand unification.

scholarly journals Going beyond the Standard Model with noncommutative geometry

2013 ◽  
Vol 2013 (3) ◽  
Author(s):  
Thijs van den Broek ◽  
Walter D. van Suijlekom
Keyword(s):  
Standard Model ◽  
Noncommutative Geometry ◽  
Beyond The Standard Model ◽  
The Standard Model

scholarly journals Spectral action and the electroweak θ-terms for the Standard Model without fermion doubling

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
A. Bochniak ◽  
A. Sitarz ◽  
P. Zalecki
Keyword(s):  
Standard Model ◽  
Symmetry Breaking ◽  
Dirac Operator ◽  
Noncommutative Geometry ◽  
Gauge Fields ◽  
Wick Rotation ◽  
Spectral Action ◽  
Geometry Model ◽  
The Standard Model ◽  
Cp Symmetry

Abstract We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows for CP-symmetry breaking, has the Dirac operator that is not of the product type. Using Wick rotation we derive explicitly the Lagrangian of the model from the spectral action for a flat metric, demonstrating the appearance of the topological θ-terms for the electroweak gauge fields.

scholarly journals Correction to: The Standard Model in noncommutative geometry: fundamental fermions as internal forms

2019 ◽  
Vol 109 (11) ◽  
pp. 2585-2585
Author(s):  
Ludwik Dąbrowski ◽  
Francesco D’Andrea ◽  
Andrzej Sitarz
Keyword(s):  
Standard Model ◽  
Noncommutative Geometry ◽  
The Standard Model

scholarly journals Noncommutative geometry and the standard model vacuum

2006 ◽  
Vol 47 (5) ◽  
pp. 052305 ◽  
Author(s):  
John W. Barrett ◽  
Rachel A. Dawe Martins
Keyword(s):  
Standard Model ◽  
Noncommutative Geometry ◽  
The Standard Model
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