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QCD Effects in Non-QCD Theories

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Abstract

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.

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Acknowledgements

The work was supported by the program No. AP14869140 (The study of QCD effects in non-QCD theories) of the Ministry of Education and Science of the Republic of Kazakhstan. We are also grateful to the Research Group Linkage Programme of the Alexander von Humboldt Foundation for the support of this research. We wish to thank the anonymous referees whose comments helped to improve the manuscript.

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Authors and Affiliations

  1. Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan

    Vladimir Dzhunushaliev

  2. Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan

    Vladimir Dzhunushaliev & Vladimir Folomeev

  3. Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, 720071, Bishkek, Kyrgyzstan

    Vladimir Dzhunushaliev & Vladimir Folomeev

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  1. Vladimir Dzhunushaliev
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  2. Vladimir Folomeev
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Correspondence to Vladimir Dzhunushaliev.

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Dzhunushaliev, V., Folomeev, V. QCD Effects in Non-QCD Theories. Found Phys 52, 118 (2022). https://doi.org/10.1007/s10701-022-00642-1

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