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 $n=1.3$.

arXiv comment15 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

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• Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD
• Proton Structure Functions from an AdS/QCD model with a deformed background
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• Flavor Exotic Triply-Heavy Tetraquark States in AdS/QCD Potential
• Proton and neutron form factors from deformed gravity/gauge duality
• Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
• Fluctuation and dissipation within a deformed holographic model with backreaction
• Meson Excitation Time as a Probe of Holographic Critical Point
• Meson Potential Energy in a Non-Conformal Holographic Model
• Probing AdS/QCD backgrounds with semi-classical strings
• Confinement Potential in a Soft-Wall Holographic Model with a Hydrogen-like Spectrum
• Thermodynamics of Soft Wall Model in Einstein-Maxwell-Gauss-Bonnet Gravity
• Comparison between holographic deformed AdS and soft wall models for fermions
• Holography and the internal structure of charmonium