Towards a unified theory of gauge and Yukawa interactions

Abstract

It is suggested to combine gauge and Yukawa interactions into one expression involving the generalized Dirac operator associated with a superconnection $D+L$, $L$ being linked to the Higgs field (one doublet). We advocate a version of the Minimal Standard Model where the Higgs field gives masses to the neutrinos and a CKM matrix to the leptons.

arXiv comment29 pages, LATeX2e, AMS fonts, 3nd version with minor changes

References in corpus (3)

• A Class of Anomaly-Free Gauge Theories
• Two-loop renormalization group profile of the standard model and a new generation
• An estimation of the Higgs boson mass in the two loop approximation in a noncommutative differential geometry

Cited by in corpus (5)

• Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space
• A Note on the Gauge Group of the Electroweak Interactions
• On an Alternative Approach to the Relation between Bosons and Fermions: Employing Clifford Space
• A $\mathrm{U}(2)\times \mathrm{U}(3)$ gauge theory extension of the standard model
• A Model of the Electroweak Interactions with Invisible Higgs Particle