Shifman-Vainshtein-Zakharov sum rules

Shifman, M.

doi:10.4249/scholarpedia.8790

Cited by 580 publications

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“…There exists a simple heuristic way for the derivation of the linear radial trajectory from the semiclassical flux tube model for the light mesons [34]. It leads to the wrong slope; nevertheless, it is occasionally used in the literature and in discussions.…”

Section: Appendixmentioning

confidence: 99%

Holographic estimates of the deconfinement temperature

Katanaeva¹,

Afonin²

2016

AIP Conference Proceedings

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The problem of self-consistent estimates of the deconfinement temperature T c in the framework of the bottom-up holographic approach to QCD is scrutinized. It is shown that the standard soft wall model gives T c for the planar gluodynamics around 260 MeV in a good agreement with the lattice data. The extensions of the soft wall model adjusted for descriptions of realistic meson spectra result in a broad range of the predictions. This uncertainty is related with a poor experimental information on the radially excited mesons.

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Section: Appendixmentioning

confidence: 99%

Holographic estimates of the deconfinement temperature

Katanaeva¹,

Afonin²

2016

AIP Conference Proceedings

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“…It is well known that the gluon condensate, from which glueball is thought to be made of, can only be determined in a nonperturbative formulation of QCD. So far various attempts have been made to determine gluon condensate from first principles [6], [7], [8], [9]. We refer the reader to Ref.…”

Section: Scalar Toy Model Of Glueballmentioning

confidence: 99%

“…[5] the spherically symmetric solution to equations (9) and (10) is considered. This ball serves as a nonperturbative scalar model of glueball.…”

Section: Scalar Toy Model Of Glueballmentioning

confidence: 99%

Scalar model of glueball in nonperturbative quantisation à la heisenberg

Dzhunushaliev¹,

Makhmudov²

2015

INT J MATH PHYS

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Abstract. A scalar model of glueball is considered. The model is based on two scalar fields approximation for SU(3) non-Abelian Lagrangian. The approach to approximation makes use of the assumption that 2 and 4-points Green's functions are described in terms of some two scalar fields. The model is described via non-perturbative method due to value of coupling constant, which does not permit us using of Feynman diagrams and therefore of perturbative methods. Asymptotical behaviour of the scalar fields are obtained. Profiles of these fileds calculated for a range of values of a parameter of the problem is given. Detailed numerical investigation of corresponding equations describing this model is performed. The dependence of the glueball mass vs parameters of scalar fields is shown. Comparison of characteristics of glueball obtained in our two-scalar model and predictions of other models and experimental data for glueball is performed.

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“…In the region of small and intermediate τ, where the truncated OPE gives a good description of the correlator, excited hadronic states give sizeable contributions. In order to get rid of the excited states and to isolate the ground-state contribution from the correlator, one invokes the idea of quark-hadron duality [5][6][7]: the excited states are dual to high-energy parts of Feynman diagrams of perturbative QCD. The ground-state contribution is then equal to the "dual correlator" -the correlator in which the spectral integrals for perturbation theory diagrams are cut at a certain effective continuum threshold s eff , or simply "effective threshold".…”

Section: Introductionmentioning

confidence: 99%

Advances in QCD sum-rule calculations

Melikhov¹

2016

AIP Conference Proceedings

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Abstract. We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point correlators; (ii) form factors at large momentum transfers from three-point vacuum correlation functions; (iii) properties of exotic tetraquark hadrons from correlation functions of four-quark currents.

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Shifman-Vainshtein-Zakharov sum rules

Cited by 580 publications

References 0 publications

Holographic estimates of the deconfinement temperature

Holographic estimates of the deconfinement temperature

Scalar model of glueball in nonperturbative quantisation à la heisenberg

Advances in QCD sum-rule calculations

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