A test of the instanton vacuum chiral quark model with axial anomaly low-energy theorems

Abstract

The QCD + QED axial anomaly low-energy theorems are applied to estimate the accuracy of an instanton vacuum - based chiral quark model. The low-energy theorems give an exact relation between the matrix elements of the gluon and photon parts of the QCD + QED axial anomaly operator equation. The matrix elements between vacuum and two photon states and between vacuum and two gluon states are calculated for arbitrary N_f. It is shown that this model does satisfy the low-energy theorems with an accuracy of $\sim 17$. We estimate also the contribution of the nonperturbative conversion of gluons into photons to the decay ${\eta }^{\prime }\to 2\gamma$ and compare with experimental data.

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References in corpus (3)

• Phenomenological Evidence for the Gluon Content of $\eta$ and ${\eta }^{\prime }$
• Instanton size distribution: repulsion or the infrared fixed point?
• ON THE HIGHER-LOOP CONTRIBUTIONS TO THE AXIAL ANOMALY

Cited by in corpus (8)

• Low energy constants of \chiPT from the instanton vacuum model
• Magnetic susceptibility of the QCD vacuum
• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• A test of the instanton vacuum with low-energy theorems of the axial anomaly
• On the Role of Charm in Decay of B-mesons to η' K
• Gluons, Light and Heavy Quarks in the Instanton Vacuum
• Heavy-heavy and heavy-light quarks interactions generated by QCD vacuum
• Gluons, Heavy and Light Quarks in the QCD Vacuum