Published 2019-09-26
Keywords
- 16-spinor, Sigma model, Homotopy groups.
How to Cite
AL-Baidhani, A. K. (2019). Sigma model realization in Spinor theory. Amazonia Investiga, 8(22), 223–228. Retrieved from https://amazoniainvestiga.info/index.php/amazonia/article/view/309
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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References
D. Husemoller (1966). Fiber Bundles. McGraw-Hill, New York.
L. D. Faddeev, Dok. (1973). Acad. Nauk SSSR 210,807.
Skyrme T.H.R.A. (1962). Unified Field Theory of Mesons and Baryons// Nucl. Phys, Vol.31, No4. Pp. 556-559.
Whitehead J.H.C. (1947). An Expression of Hopf S Invariant as an Integral // Proc.Roy. Irish.Acad .Sci.-Vol.33.-Pp117-123.
Whitney H. (1957). Geometric Integration Theory. -Princeton, New Jersey: Princeton University Press, P.534.
Yu. P. Rybakov (2011). Soliton Configurations in Generalized Mie Electrodynamics, Physics of Atomic Nuclei 74(7), 1102-1105.
Yu. P. Rybakov (2013). Topological Solitons in 8-Spinor Mie Electrodynamics, Physics of Atomic Nuclei 76(10), 1284-1288.
L. D. Faddeev, Dok. (1973). Acad. Nauk SSSR 210,807.
Skyrme T.H.R.A. (1962). Unified Field Theory of Mesons and Baryons// Nucl. Phys, Vol.31, No4. Pp. 556-559.
Whitehead J.H.C. (1947). An Expression of Hopf S Invariant as an Integral // Proc.Roy. Irish.Acad .Sci.-Vol.33.-Pp117-123.
Whitney H. (1957). Geometric Integration Theory. -Princeton, New Jersey: Princeton University Press, P.534.
Yu. P. Rybakov (2011). Soliton Configurations in Generalized Mie Electrodynamics, Physics of Atomic Nuclei 74(7), 1102-1105.
Yu. P. Rybakov (2013). Topological Solitons in 8-Spinor Mie Electrodynamics, Physics of Atomic Nuclei 76(10), 1284-1288.
