Mass gap for a monopole interacting with a nonlinear spinor field

Dzhunushaliev, Vladimir; Burtebayev, N.; Folomeev, Vladimir; Kunz, Jutta; Serikbolova, Albina; Tlemisov, Abylaikhan

doi:10.1103/physrevd.104.056010

Cited by 9 publications

(18 citation statements)

References 8 publications

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“…Here, we closely follow Refs. [7,8]. The Lagrangian describing a system consisting of a non-Abelian SU(2) field A a µ interacting with nonlinear spinor field ψ can be taken in the form…”

Section: Mass Gapmentioning

confidence: 99%

QCD effects in non-QCD theories

Dzhunushaliev¹,

Folomeev²

2022

Preprint

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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 assumption 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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“…Here, we closely follow Refs. [7,8]. The Lagrangian describing a system consisting of a non-Abelian SU(2) field A a µ interacting with nonlinear spinor field ψ can be taken in the form…”

Section: Mass Gapmentioning

confidence: 99%

QCD effects in non-QCD theories

Dzhunushaliev¹,

Folomeev²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Unlike Refs. [6][7][8], we will use below the term "dipole" for the configurations under consideration. This is because the radial component of the color magnetic field behaves asymptotically as H a r ∼ D/r 3 , as it takes place in Maxwell's magnetostatic, and the constant D may be called the color magnetic moment of the dipole.…”

Section: Dipolelike Solutions In Su(2) Yang-mills Theorymentioning

confidence: 99%

“…But, unlike usual dipole solutions, the solution obtained in Refs. [6][7][8] also has a nonvanishing component of the color magnetic field H a ϕ ; for this reason, we have enclosed the word "dipole" in quotation marks. Below we discuss a vector field created by the color current j aµ .…”

Section: Dipolelike Solutions In Su(2) Yang-mills Theorymentioning

confidence: 99%

“…In this section we describe a scenario within which "dipoles" found in Refs. [6,7] may be regarded as quasiparticles in the nonperturbative vacuum of SU(2) Yang-Mills theory coupled to a nonlinear spinor field.…”

Section: "Dipoles" As Quasiparticles In the Nonperturbative Vacuummentioning

confidence: 99%

“…In the present paper we suggest a model of nonperturbative vacuum where monopolelike objects found in Refs. [6,7] are regarded as virtual quasiparticles in nonperturbative vacuum of SU(2) Yang-Mills theory which includes a nonlinear spinor field. As pointed out above, such virtual quasiparticles are created according to the Heisenberg uncertainty principle and their lifetimes are determined by this principle.…”

Section: Introductionmentioning

confidence: 99%

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Quasiparticles in nonperturbative vacuum

Dzhunushaliev¹,

Folomeev²

2022

Preprint

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The model of nonperturbative vacuum in SU(2) Yang-Mills theory coupled to a nonlinear spinor field is suggested. By analogy with Abelian magnetic monopole dominance in quantum chromodynamics, it is assumed that the dominant contribution to such vacuum is coming from quasiparticles described by dipolelike solutions existing in this theory. Using an assumption of the behavior of the number density of quasiparticles whose energy approaches infinity, we derive an approximate expression for the energy density of such nonperturbative vacuum, which turns out to be finite, unlike an infinite energy density of perturbative vacuum. Using characteristic values of the parameters appearing in the expression for the nonperturbative energy density, it is shown that this density may be of the order of the energy density associated with Einstein's cosmological constant. The physical interpretation of the spinor field self-coupling constant as a characteristic distance between quasiparticles is suggested. The questions of experimental verification of the nonperturbative vacuum model under consideration and of determining its pressure are briefly discussed.

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QCD Effects in Non-QCD Theories

Dzhunushaliev

Folomeev

2022

Found Phys

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Mass gap for a monopole interacting with a nonlinear spinor field

Cited by 9 publications

References 8 publications

QCD effects in non-QCD theories

QCD effects in non-QCD theories

Quasiparticles in nonperturbative vacuum

QCD Effects in Non-QCD Theories

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