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

作者：Colangelo P^*; De Fazio F; Sanz Cillero J J; Giannuzzi F; Nicotri S

来源：PHYSICAL REVIEW D, 2012, 85(3): 035013.

DOI：10.1103/PhysRevD.85.035013

We consider the vertex function of two vector and one axial-vector currents using the soft-wall holographic model of QCD with the Chern-Simons term. Two structure functions w(L) and w(T) describe such a vertex in the special case in which one of the two vector currents corresponds to an on-shell soft photon. We briefly review the QCD results for these functions, obtained from triangular loop diagrams with quarks having mass m(q) = 0 or m(q) not equal 0, we compute wL and wT in the soft-wall model and compare the outcome to the QCD findings. We also calculate and discuss the two-point Pi(VV) - Pi(AA) correlation function, together with a few low-energy constants, which turn out to be close to the QCD results. Finally, we comment on a relation proposed by Son and Yamamoto between wT and Pi(VV) - Pi(AA).

• 出版日期2012-2-13