we study the existing models for describing the particles as topological solitons, the Skyrme model, which allows us to describe baryons as topological solitons and simulate the internal structure of hadrons and light nuclei, as well as the Faddeev model, which allows us to describe the leptons as topological solitons. Combining these two approaches is an interesting problem, in which hypothetically, it is possible to consider hadrons and leptons as two possible phases of some effective spinor model. We will consider a possible variant of the effective model in which the mechanism of spontaneous disorder of symmetry is eliminated if we use its 16-spinor realization, and we will concretize it on a lepton sector. We use the Higgs potential of the special kind, considering the special properties of 16-spinors mentioned by Cartan.
Volume 12 | Issue 3
Pages: 588-592
DOI: 10.5373/JARDCS/V12I3/20201227