On a systematic derivation of the quark-antiquark potential

Barchielli, Alberto; Montaldi, E.; Prosperi, G. M.

doi:10.1016/0550-3213(88)90036-3

Cited by 111 publications

(162 citation statements)

References 4 publications

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“…By (2.1) and (2.7) we then find for a low particle velocity 10) For g = 2, the above equation becomes 11) which is of the same magnitude but opposite sign from the pure Thomas term. Discussing QCD in an electrodynamic context is not unreasonable in this model of quark dynamics given the assumptions we make about the physical fields.…”

Section: Buchmüller's Picture Of the Spin-orbit Interaction In Qcdmentioning

confidence: 87%

“…If the confinement is pure time component vector we substitute (4.14) into (4.6) to obtain (4.15) In the case of scalar confinement we take (4.16) A similar reduction gives (4.17) Finally, the low quark velocity expansion of the Wilson minimal area law provides the effective Hamiltonian implied by QCD [11], (4.18) We observe that our model, scalar confinement, and low quark velocity expansion of the Wilson loop model [11] all have the pure Thomas spin-orbit interaction. The Darwin terms differ but are sensitive to the ordering prescription applied to symmetrize the operators.…”

Section: Relativistic Correctionsmentioning

confidence: 99%

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Quark confinement dynamics

et al. 1997

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Starting from Buchmüller's observation that a chromoelectric flux tube meson will exhibit only the Thomas type spin-orbit interaction, we show that a model built upon the related assumption that a quark feels only a constant radial chromoelectric field in its rest frame implies a complete relativistic effective Hamiltonian that can be written explicitly in terms of quark canonical variables. The model yields linear Regge trajectories and exhibits some similarities to scalar confinement, but with the advantage of being more closely linked to QCD.

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Section: Buchmüller's Picture Of the Spin-orbit Interaction In Qcdmentioning

confidence: 87%

Section: Relativistic Correctionsmentioning

confidence: 99%

Quark confinement dynamics

et al. 1997

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“…[14,15], since the spectral representation of V d (r) consists of the same amplitudes and the energy gaps. We plan to present this result as well as the other velocity-dependent potentials at O(1/m 2 ) in a separate publication.…”

Section: Discussionmentioning

confidence: 99%

“…Further, by integrating out the scale mv, where v is quark velocity, one arrives at a framework called potential NRQCD (pN-RQCD) [7,8,9,10], where the static potential emerges as the leading-order contribution, followed by relativistic corrections in powers of 1/m. The potential at O(1/m 2 ) contains the leading order spin-dependent corrections [11,12,13] and the velocity-dependent potentials [14,15]. Perturbation theory may be applied to the determination of these potentials to some extent.…”

Section: Introductionmentioning

confidence: 99%

Nonperturbative Determination of the QCD Potential atO(1/m)

2006

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“…[8], if full relativistic kinematics is kept, but the spin dependent terms are neglected, it becomes identical to the potential of the relativistic flux tube model [3].…”

Section: Ds Equation and Mass Operatormentioning

confidence: 99%

Running coupling constant and masses in QCD, the meson spectrum

Baldicchi¹,

Prosperi²

2005

AIP Conference Proceedings

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Abstract. In line with some previous works, we study in this paper the meson spectrum in the framework of a second order quark-antiquark Bethe-Salpeter formalism which includes confinement. An analytic one loop running coupling constant α s (Q), as proposed by Shirkov and Sovlovtsov, is used in the calculations. As for the quark masses, the case of a purely phenomenological running mass for the light quarks in terms of the c. m. momentum is further investigated. Alternatively a more fundamental expression m P (Q) is introduced for light and strange quarks, combining renormalization group and analyticity requirements with an approximate solution of the Dyson-Schwinger equation. The use of such running coupling constant and masses turns out to be essential for a correct reproduction of the the light pseudoscalar mesons.

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On a systematic derivation of the quark-antiquark potential

Cited by 111 publications

References 4 publications

Quark confinement dynamics

Quark confinement dynamics

Nonperturbative Determination of the QCD Potential atO(1/m)

Running coupling constant and masses in QCD, the meson spectrum

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