Quark-antiquark potential from a deformed AdS/QCD

TL;DR

This paper uses a holographic deformed AdS/QCD model to calculate the quark-antiquark potential, deriving the Cornell potential and fitting parameters to match experimental data.

Contribution

It introduces a specific warp factor deformation in AdS space to derive the Cornell potential from holography, providing parameter fits to experimental data.

Findings

Derived the Cornell potential from a deformed AdS holographic model.

Fitted model parameters to match the Cornell potential at 0.33 fermi.

Demonstrated the model's consistency with known quark-antiquark interactions.

Abstract

In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor $\exp\{(\kappa z)^n/n\}$. From this energy we derive the Cornell potential for the quark-antiquark interaction. We also find a range of values for our parameters which fits exactly the Cornell potential parameters. In particular, setting the zero energy of the Cornell potential at 0.33 fermi, we find that $\kappa=0.56$ GeV and $n=1.3$.