A model behind the Standard Model?

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SUMMARY

The forum discussion centers on two significant papers by H.M. Chan and S.T. Tsou, available on the hep-th arxiv. The first paper, "Higgs Fields as Vielbeins of Internal Symmetry Space," refines the concept of scalar fields in gauge theory, applying it to both $u(1) \times su(2)$ and $su(3)$ theories, revealing differences in their physical outcomes. The second paper, "A Model Behind the Standard Model," critiques the Standard Model's empirical assumptions and proposes a framework incorporating scalar fields as vielbeins, a confinement picture of symmetry breaking, and a duality between generations and color, leading to insights on baryon-lepton number conservation and a geometrical interpretation of scalar fields.

PREREQUISITES
  • Understanding of gauge theory, specifically $u(1)$, $su(2)$, and $su(3)$ symmetries.
  • Familiarity with the concept of scalar fields and their role in particle physics.
  • Knowledge of baryon-lepton number conservation principles.
  • Basic comprehension of phenomenological models in particle physics.
NEXT STEPS
  • Research the implications of scalar fields as vielbeins in gauge theories.
  • Study the confinement picture of symmetry breaking in quantum field theory.
  • Explore the relationship between generations of particles and color charge in the context of the Standard Model.
  • Investigate the experimental consistency of the proposed model's implications regarding mass and mixing patterns of quarks and leptons.
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Particle physicists, theoretical physicists, and researchers interested in the foundations of the Standard Model and the geometric interpretation of scalar fields in gauge theories.

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Two interesting papers by Chan and Tsou on the hep-th arxiv:

hep-ph/0611363

Title: Higgs Fields as Vielbeins of Internal Symmetry Space
Authors: H.M. Chan, S.T. Tsou
Comments: 24 pages
An earlier suggestion that scalar fields in gauge theory may be introduced as frame vectors or vielbeins in internal symmetry space, and so endowed with geometric significance, is here sharpened and refined. Applied to a $u(1) \times su(2)$ theory this gives exactly the Higgs structure of the standard electroweak theory. Applied to an $su(3)$ theory, it gives a structure having much in common with a phenomenological model previously constructed to explain fermion mixing and mass hierarchy. The difference in physical outcome for the two theories is here traced to the difference in structure between the two symmetry groups.


hep-ph/0611364

Title: A Model Behind the Standard Model
Authors: H.M. Chan, S.T. Tsou
Comments: 62 pages
In spite of its many successes, the Standard Model makes many empirical assumptions in the Higgs and fermion sectors for which a deeper theoretical basis is sought. Starting from the usual gauge symmetry $u(1) \times su(2) \times su(3)$ plus the 3 assumptions: (A) scalar fields as vielbeins in internal symmetry space, (B) the ``confinement picture'' of symmetry breaking, (C) generations as ``dual'' to colour, we are led to a scheme which offers: (I) a geometrical significance to scalar fields, (II) a theoretical criterion on what scalar fields are to be introduced, (III) a partial explanation of why $su(2)$ appears broken while $su(3)$ confines, (IV) baryon-lepton number (B - L) conservation, (V) the standard electroweak structure, (VI) a 3-valued generation index for leptons and quarks, and (VII) a dynamical system with all the essential features of an earlier phenomenological model which gave a good description of the known mass and mixing patterns of quarks and leptons including neutrino oscillations. There are other implications the consistency of which with experiment, however, has not yet been systematically explored.

Any comments?
 

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