Non-linear field theory for lepton and quark masses

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 N^4 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.

Comments: 8 pages, 1 table, 1 figure. PACS: 12.15.Ff, 11.10