Are there any unification models that explicitly unify colour and flavour?

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SUMMARY

This discussion focuses on unification models that explicitly combine color and flavor in particle physics. Key references include the proposal by Gell-Mann regarding SU(3) \subset SO(7), and the foundational theory "Lepton Number as the Fourth Color" by J. Pati and A. Salam, published in PRD10:275(1974). The conversation highlights the need for models that address the mixing of flavor and color, particularly in the context of lepton masses as explored by researchers like Brannen, Kea, and de Vries. The discussion emphasizes the brilliance of these theories while acknowledging their shortcomings.

PREREQUISITES
  • Understanding of SU(3) and SO(7) group theory
  • Familiarity with particle physics concepts, particularly color and flavor
  • Knowledge of lepton masses and their implications in theoretical models
  • Awareness of historical theories in particle physics, especially those by Gell-Mann and Pati-Salam
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  • Research the implications of SU(3) \subset SO(7) in particle physics
  • Study the theory "Lepton Number as the Fourth Color" by J. Pati and A. Salam
  • Explore models that integrate flavor and color in particle physics
  • Investigate the role of lepton masses in unification theories
USEFUL FOR

The discussion is beneficial for theoretical physicists, particle physicists, and researchers interested in unification models that explore the relationship between color and flavor in the context of lepton masses.

arivero
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This question is sparked by the research on lepton masses by Brannen, Kea, de Vries, Dave and others, but it is independent of it.

Point is, what unification models do a explicit unification of colour and flavour?

Particularly I have notes about considering [tex]SU(3) \subset SO(7)[/tex], where this SU(3) is not color but a diagonal of the direct sum of SU(3)_colour and SU(3) generations. My notes tell that this was a proposal of GellMann in 1983 or near, and I have some extra lines naming, guess, Ne'eman and others. But I have forgot to take note of the exact reference and I have been unable, for some weeks, of finding it again.
 
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The grandaddy of all such theories is "Lepton Number as the Fourth Color", J. Pati and A. Salam, PRD10:275(1974).

It's absolutely brilliant. Completely wrong, of course, but still brilliant. (I could say the same thing about Yang-Mills)
 
Vanadium 50 said:
The grandaddy of all such theories is "Lepton Number as the Fourth Color", J. Pati and A. Salam, PRD10:275(1974).

It's absolutely brilliant. Completely wrong, of course, but still brilliant. (I could say the same thing about Yang-Mills)

Indeed brilliant, but it does not address the question of families. I am a bit puzzled by the fact that trace(sqrt(M_leptons)) = 3 * sqrt( 313 MeV), so I want to look for models where flavour and colour mix in some way.
 

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