Exploring Framed Gauge Theory as Basis for Physical Models

Abstract

It is shown that by introducing as dynamical variables in the formulation of gauge theories the frame vectors (or vielbeins) in internal symmetry space, in addition to the standard gauge boson and matter fermion fields, one obtains: (i) for the $su(2)\times u(1)$ symmetry, the standard electroweak theory with the Higgs field thrown in as part of the framed gauge theoretical structure, (ii) for the $su(3)\times su(2)\times u(1)$ symmetry, a "framed standard model" with, apart from the Higgs field as before, a global $su(3)$ symmetry to play the role of fermion generations, plus some other properties which are shown elsewhere to give to both quarks and leptons hierarchical mass and mixing patterns similar to those experimentally observed. Besides, the "framing" of the standard model as such has brought the particle theory closer in structure to the theory of gravity where vierbeins have long figured as dynamical variables. Although most of the results have already been reported before, time and hindsight have allowed their presentation in this review to be made more transparent and succint.

34 pages, Latex

References in corpus (4)

• A Solution of the Strong CP Problem Transforming the theta-angle to the KM CP-violating Phase
• A Model Behind the Standard Model
• Mass Hierarchy, Mixing, CP-Violation and Higgs Decay---or Why Rotation is Good for Us
• The Rotating Mass Matrix, the Strong CP Problem and Higgs Decay

Cited by in corpus (6)

• Gauge-covariant canonical formalism revisited with application to the proton spin decomposition
• A First Test of the Framed Standard Model against Experiment
• A Closer Study of the Framed Standard Model Yielding Testable New Physics plus a Hidden Sector with Dark Matter Candidates
• Generation patterns, modified $\gamma -Z$ mixing, and hidden sector with dark matter candidates as framed standard model results
• Unified FSM treatment of CP physics extended to hidden sector giving (i) ${\delta }_{CP}$ for leptons as prediction, (ii) new hints on the material content of the universe
• A Comprehensive Mechanism Reproducing the Mass and Mixing Parameters of Quarks and Leptons