Instanton effect in QCD sum rules for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mn>0</mml:mn><mml:mo>++</mml:mo></mml:msup></mml:math>hybrid

Zhang, Zhufeng; Xu, Qing; Jin, Hong-Ying; Steele, T. G.

doi:10.1103/physrevd.85.054007

Cited by 3 publications

(2 citation statements)

References 55 publications

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“…Many different models have been used to describe the structures of these scalar mesons in QCDSR, including ordinaryqq meson, four-quark state, glueball and hybrid [10,11,[25][26][27][28][29]. However, the possible mixing between mesons with the same quantum numbers make this problem even more complex, and a widely accepted conclusion of research on the structures of these scalar mesons has not been achieved.…”

Section: Qcd Sum Rule For I = 0 Scalar Channelmentioning

confidence: 99%

Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

et al. 2017

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In this paper, we reanalyze the I = 0 scalar channel with the improved Monte-Carlo based QCD sum rules, which combines the rigorous Hölder-inequality-determined sum rule window and a two Breit-Wigner type resonances parametrization for the phenomenological spectral density that satisfies the the low-energy theorem for the scalar form factor. Considering the uncertainties of the QCD parameters and the experimental masses and widths of the scalar resonances σ and f0(980), we obtain a prediction for light quark mass mq(2 GeV) = 1 2 (mu(2 GeV) + m d (2 GeV)) = 4.7 +0.8 −0.7 MeV, which is consistent with the PDG (Particle Data Group) value and QCD sum rule determinations in the pseudoscalar channel. This agreement provides a consistent framework connecting QCD sum rules and low-energy hadronic physics. We also obtain the decay constants of σ and f0(980) at 2 GeV, which are approximately 0.64 − 0.83 GeV and 0.40 − 0.48 GeV respectively.

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Section: Qcd Sum Rule For I = 0 Scalar Channelmentioning

confidence: 99%

Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

et al. 2017

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“…The contributions of instanton and those of the condensates should be equivalent from each other in some case, and thus including both contributions at the same time will cause the double counting problem. To avoid it, many authors invoke some special techniques in dealing with the two contributions [29,30,31,32]. This issue is, however, really not settled.…”

Section: Introductionmentioning

confidence: 99%

Finite-width Gaussian sum rules for $$0^{-+}$$ 0 - + pseudoscalar glueball based on correction from instanton–gluon interference to correlation function

2015

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Based on a correction from instanton-gluon interference to the correlation function, the properties of the 0 −+ pseudoscalar glueball are investigated in a family of finite-width Gaussian sum rules. In the framework of a semiclassical expansion for quantum chromodynamics in the instanton liquid background, the contribution arising from the interference between instantons and the quantum gluon fields is calculated, and it is included in the correlation function together with a pure-classical contribution from instantons and the perturbative one. The interference contribution turns out to be gauge-invariant, to be free from an infrared divergence, and to have a great role to play in restoring the positivity of the spectra of the full correlation function. The negligible contribution from vacuum condensates is excluded in our correlation function to avoid double counting. Instead of the usual zero-width approximation for the resonances, the usual Breit-Wigner form with a suitable threshold behavior for the spectral function of the finite-width resonances is adopted. Consistency between the subtracted and unsubtracted sum rules is very well justified. The values of the mass, decay width, and coupling constants for the 0 −+ resonance in which the glueball fraction is dominant are obtained, and they agree with the phenomenological analysis.

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Vector and scalar mesons’ mixing from QCD sum rules

Chen

Zhang

Huang

et al. 2019

J. High Energ. Phys.

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We studyqq-hybrid mixing for the light vector mesons andqq-glueball mixing for the light scalar mesons in Monte-Carlo based QCD Laplace sum rules. By calculating the two-point correlation function of a vectorqγ µ q (scalarqq) current and a hybrid (glueball) current we are able to estimate the mass and the decay constants of the corresponding mixed "physical state" that couples to both currents. Our results do not support strong quark/gluonic mixing for either the 1 −− or the 0 ++ states.

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Instanton effect in QCD sum rules for the0++hybrid

Cited by 3 publications

References 55 publications

Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

Finite-width Gaussian sum rules for $$0^{-+}$$ 0 - + pseudoscalar glueball based on correction from instanton–gluon interference to correlation function

Vector and scalar mesons’ mixing from QCD sum rules

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