NJL Interaction Derived From QCD

In previous works effective non-local SU(2) × SU(2) NJL model was derived in the framework of the fundamental QCD. All the parameters of the model are expressed through QCD parameters: current light quark mass m 0 and average non-perturbative α s . The results for scalar and pseudo-scalar mesons are in satisfactory agreement to existing data. In the present work the same model without introduction of any additional parameters is applied for a description of masses and strong decay widths of ρ-and a 1 -mesons. The results for both scalar and vector sectors agree with data with only one adjusted parameter m 0 , with account of average α s ≃ 0.415, which is obtained in a previous work as well.

show abstract

“…In the same way as in work [9] we start from the standard Lagrangian of QCD with two light quarks and number of colours N = 3…”

Section: Compensation Equation For Effective Form-factormentioning

confidence: 99%

NJL Interaction Derived From Qcd: Vector and Axial-Vector Mesons

Arbuzöv¹,

Волков

Zaitsev³

2009

Int. J. Mod. Phys. A

Self Cite

View full text Add to dashboard Cite

show abstract

“…Bogoliubov compensation principle [4,5]. In works [6][7][8][9][10], this approach was applied to studies of the spontaneous generation of effective non-local interactions in renormalizable gauge theories. The approach is described in detail in a recent book [11].…”

Section: Effective Three-graviton Interactionmentioning

confidence: 99%

“…In this section, we consider a model for such running in view of obtaining an impression, if such searches are advisable. Now, previous experience [6][7][8][9][10][11][12][13][18][19][20][21] has shown that solutions of compensation equations are usually expressed in terms of Meijer functions [14]. Thus we use these useful functions in our attempts here.…”

Section: A Model For a Running Gravity Couplingmentioning

confidence: 99%

Effective Interactions and Prospects for Resolution of the Fundamental Cosmological Problems in Quantum Gravity

Arbuzöv

2017

Universe

View full text Add to dashboard Cite

Wouldbe consequences of the existence of effective interactions in quantum gravitation theory are considered. In the framework of the approach, the example of a running gravitational coupling is presented, corresponding to an adequate description of effects, which nowadays are usually prescribed to dark matter and dark energy.Keywords: effective anomalous gravitation interaction; dark matter Effective Three-Graviton InteractionRegarding the well-known problems of dark matter and dark energy, numerous possibilities of modified gravity are considered (see, e.g., review [1] and recent work [2]). This approach assumes the existence of new effective interactions of the gravitational field in addition to the fundamental Einstein-Hilbert Lagrangian. In view of the extreme interest in the problem of modified gravity, we consider the possibility of the spontaneous generation of effective interactions in quantum gravity theory.In the present talk 1 , we discuss the possibility of an anomalous gravitational interaction in terms of non-perturbative effects of Einstein-Hilbert gravity. For this purpose, we rely on an approach induced by the N.N. Bogoliubov compensation principle [4,5]. In works [6][7][8][9][10], this approach was applied to studies of the spontaneous generation of effective non-local interactions in renormalizable gauge theories. The approach is described in detail in a recent book [11]. In particular, papers [9,10] deal with an application of the approach to the electroweak interaction and the possibility of the spontaneous generation of an effective anomalous three-boson interaction of the following form:where g 0.65 is the electroweak coupling. Here, F(p i ) is a form-factor, which guarantees effective interaction (Equation (1)) acting in a limited region of the momentum space. This form-factor is uniquely defined by the compensation equation of the Bogoliubov approach. We use an approximate scheme, the accuracy of which was estimated to be (10 − 15)% [6]. Up to this precision, the approach gives unique results for physical parameters; thus we have no adjusting parameters in the scheme. The wouldbe existence of effective interaction (Equation (1)) leads to important non-perturbative effects in the electroweak interaction. Its consequences were considered in works [9,10] that the interaction by Equation (1) was considered for a long period of time on phenomenological grounds [12,13]. We take the interaction by Equation (1) as a leading hint for the choosing of an effective interaction in gravity theory. Considering links between vector non-abelian gauge theories and the theory of gravity, one can easily see that the gauge field W a µν plays the same role as the Riemann curvature tensor R m n µ ν . Thus the anomalous interaction, which is strictly analogous to the interaction by Equation (1), is the following:Here, F is again some form-factor to be defined by a compensation equation. This equation corresponds to the diagrams of Figure 1. Performing calculations using FORM, we achieved the followin...

show abstract

“…Отметим, что аналогичное приближение было использовано в работах [2], [3], [5] при изучении спонтанного возникновения взаимодействия вида Намбу-Йона-Лази-нио. Было показано, что результаты согласуются с экспериментальными данными со средней точностью ∼ 10 − 15%.…”

Section: уравнение компенсации для аномального трехбозонного взаимодеunclassified

“…Спонтанное возникновение взаи-модействия вида Намбу-Йона-Лазинио рассматривалось в работах [2], [3], [5], при-чем в результате получено вполне успешное описание низкоэнергетической адрон-ной физики, включая значения m π , f π , m σ , Γ σ , ⟨qq⟩, M ρ , Γ ρ , M a1 , Γ a1 , на основе исходных параметров квантовой хромодинамики.…”

Section: Introductionunclassified

Непертурбативные Решения В Электрослабой Теории

Arbuzöv¹

2012

ТМФ

View full text Add to dashboard Cite

NJL Interaction Derived From QCD

Cited by 41 publications

References 27 publications

NJL Interaction Derived From Qcd: Vector and Axial-Vector Mesons

NJL Interaction Derived From Qcd: Vector and Axial-Vector Mesons

Effective Interactions and Prospects for Resolution of the Fundamental Cosmological Problems in Quantum Gravity

Непертурбативные Решения В Электрослабой Теории

Contact Info

Product

Resources

About