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arxiv: hep-ph/0206233 · v3 · submitted 2002-06-24 · ✦ hep-ph

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

classification ✦ hep-ph
keywords vacuumanomalyaxiallow-energytheoremsactioneffectiveelements
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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.

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Cited by 2 Pith papers

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    Computes f_B, residual mass Λ, kinetic matrix element λ1, and Isgur-Wise slope in instanton vacuum with finite-mass heavy-light vertex calibrated to B data.

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    Nucleon EM form factors computed in instanton vacuum model with parameters fixed by saddle-point equation yield proton charge radius 0.841 fm matching muonic hydrogen and good agreement on Q2 dependence of ratios.