Sigma model realization in Spinor theory

Ahmed Kamil AL-Baidhani

Ahmed Kamil AL-Baidhani Peoples' Friendship University of Russia (RUDN university), Department of Theoretical Physics, Moscow, Russia

Keywords: 16-spinor, Sigma model, Homotopy groups.

Abstract

16-spinor field is suggested to unify Skyrme and Faddeev models (Sigma Model) as topological soliton. The model is based on the well-known 8- spinor discovered by Italian geometer Brioschi. Study the structure of topological charge in the lepton sector, lepton charge is identified with the Hopf index. Estimating the energy, mass and spin of the model. Two models Skyrme and Faddeev were unifying by using 16-spinor field. In this paper we found solution at small distance behavior we can develop model and study behavior at large distance and match between two cases.

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Author Biography

Ahmed Kamil AL-Baidhani, Peoples' Friendship University of Russia (RUDN university), Department of Theoretical Physics, Moscow, Russia

Peoples' Friendship University of Russia (RUDN university), Department of Theoretical Physics, Moscow, Russia

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