Correlator of Topological Charge Densities in Instanton Model in QCD

Abstract

The QCD sum rule for the correlator of topological charge densities and related to it longitudinal part of the correlator of singlet axial currents is considered in the framework of instanton model. The coupling constant of eta'-meson with the singlet axial current is determined. Its value appears to be in a good coincidence with the value determined recently from the connection of the part of proton spin, carried by u,d,s quarks, with the derivative of QCD topological susceptibility. From the same sum rule eta-eta' mixing angle is found in the framework of two mixing angles model. Its value is close to that found in the chiral effective theory. The correlator of topological charge densities at large momenta is calculated.

14 pages, 2 figures

Cited by in corpus (13)

• Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and <G^4>
• Gluon condensates and c, b quark masses from quarkonia ratios of moments
• QCD Parameters Correlations from Heavy Quarkonia
• A Gaussian Sum-Rules Analysis of Scalar Glueballs
• Instanton and Higher-Loop Perturbative Contributions to the QCD Sum-Rule Analysis of Pseudoscalar Gluonium
• Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order
• $0^{++}$ scalar glueball in finite-width Gaussian sum rules
• Valence quark distributions in mesons in generalized QCD sum rules
• Axial and pseudoscalar current correlators and their couplings to eta and etaprime mesons
• Quark-hadron duality, axial anomaly and mixing
• The finite-width Laplace sum rules for $0^{++}$ scalar glueball in instanton liquid model
• Finite-width Gaussian sum rules for $0^{-+}$ pseudoscalar glueball based on correction from instanton-gluon interference to correlation function
• Eta-Eta' mixing and the derivative of the topological susceptibility at zero momentum transfer