SU(2) Higher-order effective quark interactions from polarization

Braghin, Fábio L.

doi:10.1016/j.physletb.2016.08.060

Cited by 16 publications

(25 citation statements)

References 87 publications

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“…[4,8] the chiral vector mesons sector (ρ and A 1 ), without quarks, was investigated at length. The purely constituent quark sector was investigated to derive higher order quark effective couplings, and magnetic field dependent effective interactions [24,32,34]. The determination of the auxilary fields in the ground state makes possible to incorporate dynamical chiral symmetry breaking, as it is usually done for the NJL model and analogously for the Schwinger-Dyson approach.…”

Section: Flavor Structure and Auxiliary Fieldsmentioning

confidence: 99%

“…So it is interesting to search for mechanisms from the quark and gluon more fundamental dynamics that generate hadron and nuclear effective models. Instantons have been considered to describe several low energy quark effective interactions [22] and other mechanisms have also been envisaged [23,24]. Although it is possible to constraint the phenomenological couplings usually suitable for the hadron and nuclear dynamical models, it is highly desirable to obtain a QCD-based derivation of the mechanism according to which the vector-mesons -baryons interactions emerge.…”

Section: Introductionmentioning

confidence: 99%

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Light vector and axial mesons effective couplings to constituent quarks

Braghin¹

2018

Phys. Rev. D

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Low energy effective couplings of baryons' constituent quarks to light vector and axial mesons are derived by considering quark polarization for a dressed one gluon exchange quark interaction. The quark field is splitted into two components, one for background constituent quarks and another one for quark-antiquark states, light mesons and the scalar chiral condensate. By considering a large quark effective mass derivative expansion, several effective coupling constants are resolved as functions of the original model parameters and of components of the quark and gluon propagators. Besides the leading single vector meson-constituent quark gauge-type effective coupling, several twovector and axial mesons-constituent quark couplings are also obtained in the next leading order. Among these, vector and axial mesons mixings induced by constituent quark currrents are found. Approximated and exact ratios between the effective coupling constants in the limit of very large quark effective mass and numerical estimates are exhibitted. Numerical results of the corresponding form factors and of the (strong) vector meson quadratic radius are also presented.I.

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Section: Flavor Structure and Auxiliary Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Light vector and axial mesons effective couplings to constituent quarks

Braghin¹

2018

Phys. Rev. D

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“…Thus, one should consider the next-to-leading order (in quark masses) contributions. Fortunately, the 1/N c hierarchy of chiral symmetric multi-quark effective vertices implies that the hierarchy of explicit symmetry-breaking terms may also exist [12,13] (the QCD origin of the set of explicit symmetry breaking multi-quark interactions has been traced back recently in [14]).…”

Section: Introductionmentioning

confidence: 99%

Masses of the lowest spin-0 and spin-1 meson nonets: Explicit symmetry breaking effects

2017

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We extend a known multi-quark three-flavor Lagrangian of the Nambu-Jona-Lasinio type, which includes a set of effective interactions proportional to the current quark masses, to include the multi-quark interactions of vector and axial-vector types. It is shown that the mass spectrum of the four low-lying meson nonets are in agreement with current phenomenological expectations.The role of the new interactions is analyzed in

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“…Furthermore, the approach considered here provides a natural path to Schwinger-Dyson and Bethe-Salpeter equations for the detailed investigation of hadron structure and interactions [20,21]. The method extends previous works for u-d-s non-degenerate or u-d degenerate quarks [7,22]. In the next section the logics of the calculation is only outlined because it has been shown with details in previous works of the author [7,22,23,24].…”

Section: Introductionmentioning

confidence: 97%

Flavor-dependent U(3) Nambu Jona Lasinio coupling constant

Braghin

2020

Preprint

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A non-perturbative one gluon exchange quark-antiquark interaction is considered to compute one loop polarization corrections to the flavor U(3) NJL-type interaction with non degenerate u-d-s constituent quark masses of the form Gij,Γ( ψλiΓψ)( ψλj Γψ) for i, j = 0...8 and Γ = I, iγ5. The effective NJL-type coupling constants in all channels are resolved in the long-wavelength limit and numerical results are presented for different choices of the effective gluon propagator. In most cases, there are similar patterns for different effective gluon propagators, in particular a very large enhancement of pseudoscalar mixing G08, that corresponds to the η − η ′ mixing channel, in the very large strange constituent quark mass limit M * s → ∞. Scalar channel couplings Gij,s are weaker than pseudoscalar ones, channel G88,s becomes eventually repulsive, and present less systematic behavior. Large mixing parameters of the scalar channels G i =j,s are also obtained but already for phenomenological values of constituent quark masses depending on the gluon propagator.

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SU(2) Higher-order effective quark interactions from polarization

Cited by 16 publications

References 87 publications

Light vector and axial mesons effective couplings to constituent quarks

Light vector and axial mesons effective couplings to constituent quarks

Masses of the lowest spin-0 and spin-1 meson nonets: Explicit symmetry breaking effects

Flavor-dependent U(3) Nambu Jona Lasinio coupling constant

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