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

Abstract

We revisit the QCD+QED axial anomaly low-energy theorems which give an exact relation between the matrix elements of the gluon and photon parts of the axial anomaly operator equation within the framework of the {\em effective action} derived from the instanton vacuum. The matrix elements between the vacuum and two photon states and between the vacuum and two gluon states are investigated for arbitrary $N_f$ in the chiral limit. Having gauged the effective action properly, we show that the model does exactly satisfy the low-energy theorems.

9 pages, no figure, final version which will appear in Phys. Lett. B

References in corpus (1)

• Short distance current correlators: Comparing lattice simulations to the instanton liquid

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