Singlet VA \tilde V correlator within the instanton vacuum model

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^0 and transversal w_T^0 with respect to axial-vector index invariant amplitudes at arbitrary 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(1) anomaly.

9 pages, 4 figures

References in corpus (6)

• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Perturbative and nonperturbative renormalization of anomalous quark triangles
• Vector and axial-vector correlators in a nonlocal chiral quark model
• Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
• VA\tilde V correlator within the instanton vacuum model
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• Dispersive approach to the axial anomaly and nonrenormalization theorem
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model