Anomalous AV*V Green's function in soft-wall AdS/QCD

TL;DR

This paper investigates the Green's function of vector and axial-vector currents in the soft-wall AdS/QCD model, comparing high-energy predictions with QCD operator product expansion and analyzing the model's limitations.

Contribution

It provides a detailed analysis of the AV*V Green's function in soft-wall AdS/QCD, highlighting discrepancies with QCD predictions and the failure of certain proposed relations at high energies.

Findings

Soft-wall model predicts zero magnetic susceptibility.

Problems arise when quark mass is non-zero.

The Son-Yamamoto relation is not satisfied at high energies.

Abstract

In this talk we study the Green's function of two vector and one axial-vector currents within the soft-wall anti-de-Sitter (AdS) model of Qunatum Chromodynamics (QCD), with a quadratic dilaton and chiral symmetry broken through a field X which gains a vacuum expectation value. We compare our predictions at high energies with the Operator Product Expansion both in the massless quark limit and for mq different from 0. The soft-wall model yields a zero magnetic susceptibility chi=0 and some problems are found in the case with mq different from 0. We also discuss the relation proposed by Son and Yamamoto between the AV*V and VV-AA correlators, which is not obeyed at high energies in soft wall AdS/QCD.