Heavy Quarkonium Melting in Large N Thermal QCD

Understand

Large N QCD is mostly governed by planar diagrams and should show linear confinement when these diagrams are suitably summed.

• The linear confinement of quarks in a class of these theories using gravity duals that capture the logarithmic runnings of the coupling constants in the IR and strongly coupled asymptotic conformal behavior in the UV was studied in our previous work.
• We also extended the theories to high temperatures and argued the possibilities of meltings and suppressions of heavy quarkonium states.
• In this paper we give a formal proof of melting using very generic choices of UV completions, and point out some subtleties associated with meltings in generic large N theories.