Charge gap in SU(3) Yang–Mills-plus-nonlinear-spinor-field theory

Vladimir Dzhunushaliev; Vladimir Folomeev; Daulet Berkimbayev

doi:10.1140/epjc/s10052-023-11714-5

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 546
https://doi.org/10.1140/epjc/s10052-023-11714-5

Regular Article - Theoretical Physics

Charge gap in SU(3) Yang–Mills-plus-nonlinear-spinor-field theory

Vladimir Dzhunushaliev¹^,2^,3^,4^a, Vladimir Folomeev²^,3^,4 and Daulet Berkimbayev¹

¹ Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan
² Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan
³ Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, 720071, Bishkek, Kyrgyzstan
⁴ Laboratory for Theoretical Cosmology, International Centre of Gravity and Cosmos, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050, Tomsk, Russia

^a v.dzhunushaliev@gmail.com

Received: 11 November 2022
Accepted: 15 June 2023
Published online: 29 June 2023

Abstract

Particlelike solutions in SU(3) gauge Yang–Mills theory with color magnetic and electric fields sourced by a nonlinear spinor field are obtained. The asymptotic behavior of these fields is studied. It is shown that the electric field exhibits the Coulomb asymptotic behavior, and one of the color components of the magnetic field behaves asymptotically as the field of a magnetic dipole. This allows one to determine the corresponding charge and magnetic moment. It is shown that profiles of the color charge and magnetic moment have global minima, which may be called charge and magnetic moment gaps. The relationship between the total energy of the system and the color charge is obtained. The physical reason for the appearance of the mass, charge, and magnetic moment gaps in the theory under consideration is discussed.

© The Author(s) 2023

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