Higgs fields as Yang-Mills fields and discrete symmetries

Coquereaux, Robert; Esposito-Farèse, Gilles; Vaillant, Ghislain

doi:10.1016/0550-3213(91)90323-p

Cited by 141 publications

(163 citation statements)

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“…Also more specific questions such as dependence of mixing publication we plan to perform a numerical fit of these parameters and a more detailed the bonus that all quantities are computable in terms of a few parameters. In a future ces and, hence, the CKM matrix in accord with more phenomenological analyses with correctly the hierarchy of the three CKM mixing angles [14]. Thus, we find mass matri is expected empirically [15,17].…”

supporting

confidence: 59%

“…Furthermore, since we derive mass matrices which, are massless and that their masses are generated only through mixing with the massive, chiral symmetry at work in the model, the quarks of the nrst two generations initially assumption very different from ours: Indeed, Fritzsch et al assume that, due to some result is remarkable because this empirical form of the mass matrices is justified by an form postulated by Fritzsch and collaborators on more empirical grounds [14,15]. This form of the mass matrices in the up and the down sector which is very close to the in each charge sector would be degenerate.…”

mentioning

confidence: 99%

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Quark mass matrices and generation mixing in the standard model with non-commutative geometry

Häußling

Scheck

1994

Physics Letters B

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QERN L.IBRFIRIES» GENE'··/H empirical inputs.plain sorne of the qualitative features of the standard model which previously were confirm our previous experience: models based on non-cornmutative geometry ex functions of the mass eigenvalues and a small number of parameters. Our results fully analytic expressions for the mass matrices and the mixing matrices which are ment with experiment but derived from a very different physical picture. `We present CKM mixing identical with, or very close to, published empirical analyses in agree ing electroweak interactions for the observed splittings) we find mass matrices and interactions. Assuming the quark generations to be initially degenerate (thus blam posable representation which provides a natural framework for inter-generational classify three quark generations in a twelve-dimensional, reducible, but indecom-A version of the standard model based on non-commutative geometry allows to Abstract e-mail: (name)©VIPMZW.Physik.Uni-Mainz.DE

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confidence: 59%

mentioning

confidence: 99%

Quark mass matrices and generation mixing in the standard model with non-commutative geometry

Häußling

Scheck

1994

Physics Letters B

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“…Inspired from [4], another non-commutative construction of the Lagrangian of the Standard Model was proposed in [17]. This construction uses rather simple mathematical tools and is not supposed to be a multi-purpose machine, able to handle any kind of algebraic situation.…”

Section: Symmetry Breaking and Higgs Mechanism In Non-commutative Geomentioning

confidence: 99%

Non-commutative geometry: A physicist's brief survey

Coquereaux

1993

Journal of Geometry and Physics

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“…Already, the simplest case of space-time with an internal structure consisting of two points is sufficient to exhibit the desired behaviour [10,11]. Gauge theory formulated on this extended geometry yields a connection form, whose internal component between the two points can be interpreted as a scalar field on space-time.…”

Section: Introductionmentioning

confidence: 99%

Monopoles, vortices, and kinks in the framework of noncommutative geometry

Teo

Ting

1997

Phys. Rev. D

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Non-commutative differential geometry allows a scalar field to be regarded as a gauge connection, albeit on a discrete space. We explain how the underlying gauge principle corresponds to the independence of physics on the choice of vacuum state, should it be non-unique. A consequence is that Yang-Mills-Higgs theory can be reformulated as a generalised YangMills gauge theory on Euclidean space with a Z 2 internal structure. By extending the Hodge star operation to this non-commutative space, we are able to define the notion of self-duality of the gauge curvature form in arbitrary dimensions. It turns out that BPS monopoles, critically coupled vortices, and kinks are all self-dual solutions in their respective dimensions. We then prove, within this unified formalism, that static soliton solutions to the Yang-Mills-Higgs system exist only in one, two and three spatial dimensions.

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Higgs fields as Yang-Mills fields and discrete symmetries

Cited by 141 publications

References 7 publications

Quark mass matrices and generation mixing in the standard model with non-commutative geometry

Quark mass matrices and generation mixing in the standard model with non-commutative geometry

Non-commutative geometry: A physicist's brief survey

Monopoles, vortices, and kinks in the framework of noncommutative geometry

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