Non-commutative standard model: model building

Chaichian, M.; Prešnajder, P.; Sheikh-Jabbari, M. M.; Tureanu, Anca

doi:10.1140/epjc/s2003-01204-7

Cited by 164 publications

(216 citation statements)

References 39 publications

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“…Just like all other fields in the model, Higgs fields appear in the Lagrangian with the star-products. This is different from "Higgsac" fields used in [15]. The latter have been shown to violate unitary [28].…”

Section: The Noncommutative Standard Modelmentioning

confidence: 81%

“…We note that unlike in [15] the scalar Higgs fields in our model are proper fields defined on the noncommutative space. Just like all other fields in the model, Higgs fields appear in the Lagrangian with the star-products.…”

Section: The Noncommutative Standard Modelmentioning

confidence: 96%

“…The ideas in this section follow [16,15] but because of our unusual gauge-group (U(4) × U(3) × U(2)) the details differ.…”

Section: Hyperchargesmentioning

confidence: 99%

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Noncommutative Standard Modelling

Khoze

Levell

2004

J. High Energy Phys.

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We present a noncommutative gauge theory that has the ordinary Standard Model as its low-energy limit. The model is based on the gauge group U(4) × U(3) × U(2) and is constructed to satisfy the key requirements imposed by noncommutativity: the UV/IR mixing effects, restrictions on representations and charges of matter fields, and the cancellation of noncommutative gauge anomalies. At energies well below the noncommutative mass scale our model flows to the commutative Standard Model plus additional free U(1) degrees of freedom which are decoupled due to the UV/IR mixing. Our model also predicts the values of the hypercharges of the Standard Model fields.

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Section: The Noncommutative Standard Modelmentioning

confidence: 81%

Section: The Noncommutative Standard Modelmentioning

confidence: 96%

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Noncommutative Standard Modelling

Khoze

Levell

2004

J. High Energy Phys.

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“…Building upon an earlier proposal by Chaichian et al [22], the authors of Ref. [8] constructed an example of a noncommutative embedding of the Standard Model with the purpose to satisfy all the requirements listed above.…”

Section: Introduction and Discussion Of Resultsmentioning

confidence: 99%

Telltale traces of U(1) fields in noncommutative standard model extensions

Jaeckel

Khoze

Ringwald

2006

J. High Energy Phys.

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Restrictions imposed by gauge invariance in noncommutative spaces together with the effects of ultraviolet/infrared mixing lead to strong constraints on possible candidates for a noncommutative extension of the Standard Model. In this paper, we study a general class of 4-dimensional noncommutative models consistent with these restrictions. Specifically we consider models based upon a gauge theory with the gauge group U(N 1 )×U(N 2 )×. . .× U(N m ) coupled to matter fields transforming in the (anti)-fundamental, bi-fundamental and adjoint representations. Noncommutativity is introduced using the Weyl-Moyal starproduct approach on a continuous space-time. We pay particular attention to overall trace-U(1) factors of the gauge group which are affected by the ultraviolet/infrared mixing. We show that, in general, these trace-U(1) gauge fields do not decouple sufficiently fast in the infrared, and lead to sizable Lorentz symmetry violating effects in the low-energy effective theory. Making these effects unobservable in the class of models we consider would require pushing the constraint on the noncommutativity mass scale far beyond the Planck mass (M NC 10 100 M P ) and severely limits the phenomenological prospects of such models.

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“…In the first approach which is based on the "Seiberg-Witten" maps, the symmetry group, number of gauge fields and particles are the same as the ordinary standard model [47]. Meanwhile, in the second approach the gauge group is U(3) × U(2) × U(1) which can be reduced to the standard model gauge group through appropriate symmetry breaking [48,49]. Here we follow the first approach to do our calculations.…”

Section: Time Evolution Of Stokes Parameters Vs Nc Forward Photon-fementioning

confidence: 99%

Using an intense laser beam in interaction with muon/electron beam to probe the noncommutative QED

Tizchang¹,

Batebi²,

Haghighat³

et al. 2017

J. High Energ. Phys.

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It is known that the linearly polarized photons can partly transform to circularly polarized ones via forward Compton scattering in a background such as the external magnetic field or noncommutative space time. Based on this fact we explore the effects of the NC-background on the scattering of a linearly polarized laser beam from an intense beam of charged leptons. We show that for a muon/electron beam flux ε µ,e ∼ 10 12 /10 10 TeV cm −2 sec −1 and a linearly polarized laser beam with energy k 0 ∼1 eV and average powerP laser 10 3 KW, the generation rate of circularly polarized photons is about R V ∼ 10 4 /sec for noncommutative energy scale Λ NC ∼ 10 TeV. This is fairly large and can grow for more intense beams in near future.

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Non-commutative standard model: model building

Cited by 164 publications

References 39 publications

Noncommutative Standard Modelling

Noncommutative Standard Modelling

Telltale traces of U(1) fields in noncommutative standard model extensions

Using an intense laser beam in interaction with muon/electron beam to probe the noncommutative QED

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