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A test of the instanton vacuum with low-energy theorems of the axial anomaly
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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.
Forward citations
Cited by 3 Pith papers
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Heavy mesons from the QCD instanton vacuum beyond the static limit
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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Electromagnetic form factors of the nucleon from the instanton vacuum
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.
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Nucleon and singly heavy baryons from the QCD instanton vacuum
A chiral soliton model with a momentum-dependent quark mass from the instanton vacuum predicts Delta-N and Sigma_Q-Lambda_Q mass splittings of 214 and 206 MeV.
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