Non-linear field theory for lepton and quark masses
Andre Gsponer, Jean-Pierre Hurni
Abstract
Barut's formula for the mass of leptons is successfully extended to quarks. A very simple non-linear scalar field model explains both the N4 power law dependence of the mass, and the existence of a cut-off which limits the number of leptons to three and the number of quarks to five, suggesting that the mass of the sixth quark is of different origin.
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