QCD Effects in Non-QCD Theories
Dzhunushaliev V. Folomeev V.
December 2022Springer
Foundations of Physics
2022#52Issue 6
It is shown that, in some non-QCD theories, there are effects shared by QCD: (i) in SU(2) Yang–Mills theory containing a nonlinear spinor field, there is a mass gap; (ii) in SU(3) Proca–Higgs theory, there are flux tube solutions with a longitudinal electric field required for producing a force binding quarks; (iii) in non-Abelian Proca–Higgs theories, there exist flux tube solutions with a momentum directed along the tube axis and particlelike solutions with a nonvanishing total angular momentum created by crossed color electric and magnetic fields; in QCD, such configurations may contribute to the proton spin. We discuss the conjecture that such non-QCD theories might be a consequence of approximate solution of an infinite set of Dyson–Schwinger equations describing the procedure of nonperturbative quantization. The phenomenon of dimensional transmutation for nonperturbative quantization and the analogy between nonperturbative quantization and turbulence modeling are also discussed.
Angular momentum , Closure problem , Flux tube and particlelike solutions , Mass gap , Nonperturbative quantization , Proca theory
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Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, Bishkek, 720071, Kyrgyzstan
Department of Theoretical and Nuclear Physics
Institute of Experimental and Theoretical Physics
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic
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