QCD and resonance physics. applications

Shifman, M.; Vainshtein, A.I.; Захаров, В. И.

doi:10.1016/0550-3213(79)90023-3

Cited by 2,845 publications

(3,113 citation statements)

References 49 publications

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“…The results obtained in this paper can be further scrutinized through the incorporation of higher order perturbative contributions into the spectral function ρ D (σ), along with the effects due to the quark masses, power corrections due to gluon and quark condensates [30,31], and restrictions imposed by the low-energy experimental data. It would also be of apparent interest to apply the present approach to the estimation of the hadronic contributions to the muon anomalous magnetic moment and to the shift of the electromagnetic fine structure constant.…”

Section: Discussionmentioning

confidence: 98%

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A novel integral representation for the Adler function

Нестеренко

Papavassiliou

2006

J. Phys. G: Nucl. Part. Phys.

137

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Abstract. New integral representations for the Adler D-function and the R-ratio of the electron-positron annihilation into hadrons are derived in the general framework of the analytic approach to QCD. These representations capture the nonperturbative information encoded in the dispersion relation for the D-function, the effects due to the interrelation between spacelike and timelike domains, and the effects due to the nonvanishing pion mass. The latter plays a crucial role in this analysis, forcing the Adler function to vanish in the infrared limit. Within the developed approach the D-function is calculated by employing its perturbative approximation as the only additional input. The obtained result is found to be in reasonable agreement with the experimental prediction for the Adler function in the entire range of momenta 0 ≤ Q 2 < ∞.

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Section: Discussionmentioning

confidence: 98%

“…Thus, along with the "standard" intrinsically nonperturbative contributions [30,31], the Adler function also receives power corrections due to the nonvanishing pion mass, which turn out to be important for Q 2 GeV:…”

Section: Novel Integral Representations For D(q 2 ) and R(s)mentioning

confidence: 99%

A novel integral representation for the Adler function

Нестеренко

Papavassiliou

2006

J. Phys. G: Nucl. Part. Phys.

137

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“…Due to Lorentz invariance and charge conservation the correlator (32) has the following decomposition [15] Π µν (q) = q µ q ν − g µν q 2 R(q 2 ) .…”

Section: Qcd Sum Rulesmentioning

confidence: 99%

Rho meson properties from combining QCD-based models

Leupold

2004

Nuclear Physics A

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Aiming at the calculation of the properties of ρ-mesons, non-perturbative QCD-based methods are discussed concerning their potentials as well as their short-comings. The latter are overcome by combining these techniques. The utilized methods are (i) the chiral constituent quark model deduced from the instanton vacuum model and large-Nc arguments, (ii) chiral perturbation theory unitarized by the inverse amplitude method and (iii) QCD sum rules. Advantages of the combination of these methods are especially the absence of un-physical quark-production thresholds and parameter-free results. Already in the chiral limit and in leading order in 1/Nc one obtains a reasonable result for the mass of the ρ-meson, namely mρ = 790 ± 30 MeV. Using the KSFR relation the universality of the ρ-meson coupling is recovered. The latter is found to be g = 6.0 ± 0.3.

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“…The Delta baryons, with spin and isospin 3/2, have long been a subject of study [1,2,3,4,5,6,7,8] in QCD Sum Rules (QCDSR), which are a well-established method that links the hadron degrees of freedom with the underlying QCD parameters [9,10]. An important issue in the analysis of the decuplet baryons as well as of other excited hadrons is their finite widths.…”

Section: Introductionmentioning

confidence: 99%

Finite-width effects on Delta baryons in QCD sum rules

Erkol¹,

Oka²

2008

Nuclear Physics A

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The quantum chromodynamics (QCD) sum rules for the Delta baryons are analyzed by taking into account the finite-width effects, through explicit utilization of the Breit-Wigner shape. We apply a Monte-Carlo based analysis to the 'traditional' and the parity-projected sum rules. The first Delta excitation state is also considered as a sub-continuum resonance and the widths are calculated using the mass values as input.

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QCD and resonance physics. applications

Cited by 2,845 publications

References 49 publications

A novel integral representation for the Adler function

A novel integral representation for the Adler function

Rho meson properties from combining QCD-based models

Finite-width effects on Delta baryons in QCD sum rules

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