arXiv:1301.3711·v1·High Energy Physics — Phenomenology

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

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, $w_{L}$ and $w_{T}$ . 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 $w_{L}$ and $w_{T}$ to the two-point functions $Π_{V V}$ and $Π_{AA}$ .

Comments: LaTeX, 8 pages. Talk given at the conference "Xth Quark Confinement and the Hadron Spectrum", Munich, 8-12 October 2012