The use of finite energy sum rules for the description of the hadronic properties of QCD

Krasnikov, N.; Пивоваров, А. А.; Tavkhelidze, N. N.

doi:10.1007/bf01577186

Cited by 115 publications

(80 citation statements)

References 18 publications

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“…(17,18) and Eqs. (8,9) one can rewrite the LO contribution to the MAMM as an integral over Euclidean values of q 2 for Π had (q 2 ),…”

Section: Hadronic Contribution At Leading Ordermentioning

confidence: 99%

“…A general idea of linking this approach to the description of hadrons at low energies with QCD is the concept of duality which means that the description of inclusive observables that are sensitive to the contribution of many particles is simpler than that of exclusive processes and can be represented by almost free fermions or weekly coupled quarks [6]. This concept works well for infrared (IR) soft observables in τ -decays and other sum rules where the limit of massless quarks is nonsingular [7,8,9,10,11,12]. For the IR sensitive observables the realization of the duality concept for the light modes is not quite straightforward since the IR cutoff explicitly enters the calculation.…”

Section: Introductionmentioning

confidence: 99%

“…This is a one-scale no-parameter model that satisfies the duality constraints from the operator product expansion [7,8,48]. The hadronic scale of the model is given by the ρ-meson mass m ρ which is eventually fixed from experiment [16].…”

Section: Alternatives For the Model Spectral Functionmentioning

confidence: 99%

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An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment

2002

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We propose a simple parameterization of the two-point correlator of hadronic electromagnetic currents for the evaluation of the hadronic contributions to the muon anomalous magnetic moment. The parameterization is explicitly done in the Euclidean domain. The model function contains a phenomenological parameter which provides an infrared cutoff to guarantee the smooth behavior of the correlator at the origin in accordance with experimental data in e + e − annihilation. After fixing a numerical value for this parameter from the leading order hadronic contribution to the muon anomalous magnetic moment the next-to-leading order results related to the vacuum polarization function are accurately reproduced. The properties of the four-point correlator of hadronic electromagnetic currents as the so-called light-by-light scattering amplitude relevant for the calculation of the muon anomalous magnetic moment are briefly discussed.

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“…(17,18) and Eqs. (8,9) one can rewrite the LO contribution to the MAMM as an integral over Euclidean values of q 2 for Π had (q 2 ),…”

Section: Hadronic Contribution At Leading Ordermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment

2002

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“…Laplace sum-rule gluonium analyses which go beyond the narrow width approximation include a single Breit-Wigner resonance skewed by kinematic factors [44], and an interpolation between the LET and continuum behaviour [23]. Finite-energy sum-rule analyses of scalar gluonium include narrow resonance models [45] and incorporate resonance widths through step functions [46] and Breit-Wigner resonances [47] with kinematic skewing.…”

Section: Analysis Of Gaussian Sum-rules For Qq and Gluonic Currentsmentioning

confidence: 99%

Near-maximal mixing of scalar gluonium and quark mesons: A Gaussian sum-rule analysis

Harnett¹,

Kleiv²,

Moats³

et al. 2011

Nuclear Physics A

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Gaussian QCD sum-rules are ideally suited to the study of mixed states of gluonium (glueballs) and quark (qq) mesons because of their capability to resolve widely-separated states of comparable strength. The analysis of the Gaussian QCD sum-rules (GSRs) for all possible two-point correlation functions of gluonic and non-strange (I = 0) quark scalar (J P C = 0 ++ ) currents is discussed. For the non-diagonal sum-rule of gluonic and qq currents we show that perturbative and gluon condensate contributions are chirally suppressed compared to non-perturbative effects of the quark condensate, mixed condensate, and instantons, implying that the mixing of quark mesons and gluonium is of non-perturbative origin. The independent predictions of the masses and relative coupling strengths from the non-diagonal and the two diagonal GSRs are remarkably consistent with a scenario of two states with masses of approximately 1 GeV and 1.4 GeV that couple to significant mixtures of quark and gluonic currents. The mixing is nearly maximal with the heavier mixed state having a slightly larger coupling to gluonic currents than the lighter state.

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“…As tested in the meson channels, this parametrization gives a good description of the spectral integral, in the sum rule analysis. In some cases, we shall also use finite energy sum Rule (FESR) [47,19]:…”

Section: The Form Of the Sum Rulesmentioning

confidence: 99%

Masses, decays and mixings of gluonia in QCD

1998

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We compute the masses and decay widths of the gluonia using QCD spectral sum rules and low-energy theorems. In the scalar sector, one finds a gluonium having a mass M G = (1.5 ± 0.2) GeV, which decays mainly into the U (1) A channels ηη ′ and 4π 0 . However, for a consistency of the whole approach, one needs broad-low mass gluonia (the σ B and its radial excitation), which couple strongly to the quark degrees of freedom similarly to the η ′ of the U (1) A sector. Combining these results with the ones for theqq quarkonia, we present maximal gluonium-quarkonium mixing schemes, which can provide quite a good description of the complex spectra and various decay widths of the observed scalar mesons σ(1.), f 0 (0.98), f 0 (1.37), f 0 (1.5) and f J (1.71). In the tensor sector, the gluonium mass is found to be M T ≃ (2.0 ± 0.1) GeV, which makes the ζ(2.2) a good 2 ++ gluonium candidate, even though we expect a rich population of 2 ++ gluonia in this region. In the pseudoscalar channel, the gluonium mass is found to be M P ≃ (2.05 ± 0.19) GeV, while we also show that the E/ι(1.44) couples more weakly to the gluonic current than the η ′ (0.96), which can favour its interpretation as the first radial excitation of the η ′ (0.96).

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The use of finite energy sum rules for the description of the hadronic properties of QCD

Cited by 115 publications

References 18 publications

An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment

An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment

Near-maximal mixing of scalar gluonium and quark mesons: A Gaussian sum-rule analysis

Masses, decays and mixings of gluonia in QCD

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