Anomalous AV^*V vertex function in the soft-wall holographic model of QCD

preprint2013arXivOpen access

Abstract

I consider the three-point function of two vector and one axial-vector currents. In the kinematic configuration in which one of the two vector currents corresponds to an on-shell soft photon, such a vertex is described in QCD by two functions, wLw_L and wTw_T. After reviewing the properties of these functions in QCD, I describe the result obtained using the soft-wall holographic model of QCD with the addition of the Chern-Simons term and I compare it with the QCD outcome. I also discuss a relation, proposed by Son and Yamamoto, that connects wLw_L and wTw_T to the two-point functions ΠVVΠ_{VV} and ΠAAΠ_{AA}.

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