Derivation of lepton masses from the chaotic regime of the linear σ-model

One of the more striking aspects of the current Standard Model for particle physics is the replication in the total number of quarks and leptons. There are three consecutive generations of these particles and the physical significance of their grouping by mass is neither fully explained nor universally accepted. Our study suggests that the lepton mass spectrum may be recovered from the underlying chaotic dynamics of the simplest prototype for classical boson–fermion interaction, the linear σ-model.