Geometrical method of spontaneous symmetry breaking in terms of fibre bundles and the standard model of electroweak interactions

Chaichian, M.; Demichev, Andrey; Nelipa, N.F.; Rodionov, A. Ya.

doi:10.1016/0550-3213(87)90005-8

Cited by 8 publications

(3 citation statements)

References 12 publications

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“…The spontaneous symmetry breaking for the U(2) × U(3) model can now be described as follows (cf. [11,5]). The Higgs field χ, whose self-interaction is the potential 4-form * λ 8 |χ| 2 − 1 2 , breaks down the gauge symmetry from U(2) × U(3) to S(U(2) × U(3)).…”

Section: Geometric Formulation Of the U(2) × U(3) Modelmentioning

confidence: 99%

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A U(2)×U(3) gauge theory extension of the standard model

Herrera

Velez

2019

Journal of Geometry and Physics

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We consider an extension of the standard model based on the group U(2) × U(3), which is naturally compatible with the standard model interacting-particle representations and the spontaneous symmetry breaking of U(2) × U(3) to an electrostrong U(3). In its minimal version, the model only adds one extra U(1) gauge boson and it implies that the hypercharge is distributed between the factors of the hyperweak and hyperstrong forces. We show that the anomaly cancellation condition can be solved by adding exotic fermions associated with a 16-dimensional representation of U(2) × U(3). A brief discussion of the mechanism of the spontaneous breakdown of U(2) × U(3) in the gauge boson sector is given.

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Section: Geometric Formulation Of the U(2) × U(3) Modelmentioning

confidence: 99%

“…The spontaneous symmetry breaking for the U(2) × U(3) model can now be described as follows (cf. [11,5]). The Higgs field χ, whose self-interaction is the potential 4-form *…”

Section: Geometric Formulation Of the U(2) × U(3) Modelmentioning

confidence: 99%

A U(2)×U(3) gauge theory extension of the standard model

Herrera

Velez

2019

Journal of Geometry and Physics

View full text Add to dashboard Cite

show abstract

“…The CSDR is a consistent dimensional reduction scheme [26,[58][59][60][61], as well as an elegant framework to incorporate in a unified manner the gauge and the ad-hoc Higgs sector of spontaneously broken four-dimensional gauge theories using the extra dimensions. The kinetic terms of fermions were easily included in the same unified description.…”

Section: Discussionmentioning

confidence: 99%