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VOLUME 82 (2005) | ISSUE 1 | PAGE 3
Singlet VA\widetilde{V} correlator within the instanton vacuum model
PACS: 12.38.-t
Abstract
The correlator of singlet axial-vector and vector currents in the external electromagnetic field is studied within the instanton liquid model of QCD vacuum. In the chiral limit we calculate the longitudinal w_{L}^{\left(0\right) } and transversal w_{T}^{\left(0\right) } with respect to axial-vector index invariant amplitudes at arbitrary space-like momentum transfer q. It is demonstrated how the anomalous longitudinal part of the correlator is renormalized at low momenta due to the presence of the U_{A}\left(1\right) anomaly.