Four-point correlator of vector currents and electric current susceptibility in holographic QCD

TL;DR

This paper computes a four-point vector current correlator in holographic QCD, linking it to electromagnetic responses in magnetic fields and exploring its relation to chiral symmetry and confinement.

Contribution

It introduces a holographic QCD calculation of four-point vector current correlators including vector, axial vector, and dilaton exchanges, connecting to experimental and lattice QCD studies.

Findings

Correlator depends strongly on confinement properties.

Weak connection to chiral symmetry breaking at zero temperature.

Results relevant for RHIC experiments and lattice QCD.

Abstract

In this work we calculate the four-point correlation function of vector quark currents of QCD via holographic QCD model. Computing the correlator we take into account the exchange of vector and axial vector bosons and dilaton in the bulk. The result is used for calculation of the two-point correlator of electromagnetic currents in external magnetic field at zero momentum, related to RHIC experiments, chiral magnetic effect and lattice study. At zero temperature we find this quantity to be loosely connected with chiral symmetry breaking and strongly dependent on the confinement properties. Some features of the AdS/QCD models are also discussed.