Quark-antiquark potential from a deformed AdS/QCD

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 $n=1.3$.

Comments: 15 pages, 2 figures. V3: Abstract changed, typos corrected, text improved, new appendix, figures 1 and 2 slightly different, figure 2 now presents explicitly our result for the Cornell Potential, results unchanged." To appear in AHEP