Description of Lepton and Baryon Phases in Skyrme–Faddeev Spinor Model

8-spinor field is suggested to unify Skyrme and Faddeev models describing baryons and leptons as topological solitons. In the Skyrme model the particles-solitons possess the topological charge of the degree type, which is interpreted as the baryon number. In the Faddeev model the particles are endowed with the topological invariant of the Hopf type, which is interpreted as the Lepton number. The special 8-spinor Brioschi identity is used to include leptons and baryons as two µpossible phases of the effective spinor field model with Higgs potential depending on the j jµ being added to the Lagrangian. In the present paper the generalization of the Mie electrodynamics within the scope of the effective 8-spinor field model is suggested. For this field model the quadratic spinor quantities entering the Brioschi identity are constructed. Also we find the symmetry groups, which generate S- and S-submanifolds in general S biquadratic spinor manifold.

• Molotkov V.I.

• Прикладные науки. Медицина. Технология

• Социальные (общественные) науки
• Науки о человеке