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

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

1996-10-18

arxiv.org/abs/hep-ph/9610418v2

Phys.Lett. B395 (1997) 298-306

Physics

High Energy Physics

High Energy Physics - Phenomenology

uudecode, gzip, latex, 11 pages, the text and the list of references was slightly changed

Scientific paper

10.1016/S0370-2693(97)00052-X

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 $\eta ' \rightarrow 2 \gamma$ and compare with experimental data.

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