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Monopole solutions in SU(2) Yang–Mills theory, which interact with massive nonlinear spinor fields, described by the nonlinear Dirac equation, are obtained. These solutions describe a magnetic monopole created by a spherical lump of nonlinear spinor fields. It is shown that the monopole solutions obtained differ in principle from the ‘t Hooft–Polyakov monopole so that (a) it is topologically trivial; (b) the radial magnetic field decreases as ; (c) the Higgs field is not necessary for its existence. It is demonstrated that the energy spectrum of such a system possesses a global minimum, the appearance of which is due exclusively to the nonlinearity of the Dirac spinor fields. This global minimum can be considered a mass gap, i.e., the energy difference between a vacuum and the next lowest energy state. A similar minimum was found for the energy spectrum of regular solutions to the nonlinear Dirac equation and this minimum is called “the lightest stable particle”.
Askarovna, S.A.; Dzhumakadyrovich, D.V.
Monopole Solutions in SU(2) Yang–Mills and Nonlinear Spinor Field Theory. Phys. Sci. Forum2021, 2, 47.
https://doi.org/10.3390/ECU2021-09287
AMA Style
Askarovna SA, Dzhumakadyrovich DV.
Monopole Solutions in SU(2) Yang–Mills and Nonlinear Spinor Field Theory. Physical Sciences Forum. 2021; 2(1):47.
https://doi.org/10.3390/ECU2021-09287
Chicago/Turabian Style
Askarovna, Serikbolova Albina, and Dzhunushaliev Vladimir Dzhumakadyrovich.
2021. "Monopole Solutions in SU(2) Yang–Mills and Nonlinear Spinor Field Theory" Physical Sciences Forum 2, no. 1: 47.
https://doi.org/10.3390/ECU2021-09287
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Askarovna, S.A.; Dzhumakadyrovich, D.V.
Monopole Solutions in SU(2) Yang–Mills and Nonlinear Spinor Field Theory. Phys. Sci. Forum2021, 2, 47.
https://doi.org/10.3390/ECU2021-09287
AMA Style
Askarovna SA, Dzhumakadyrovich DV.
Monopole Solutions in SU(2) Yang–Mills and Nonlinear Spinor Field Theory. Physical Sciences Forum. 2021; 2(1):47.
https://doi.org/10.3390/ECU2021-09287
Chicago/Turabian Style
Askarovna, Serikbolova Albina, and Dzhunushaliev Vladimir Dzhumakadyrovich.
2021. "Monopole Solutions in SU(2) Yang–Mills and Nonlinear Spinor Field Theory" Physical Sciences Forum 2, no. 1: 47.
https://doi.org/10.3390/ECU2021-09287
