The Cornell Potential from General Geometries in AdS / QCD

Abstract

We consider the heavy quark-antiquark potential in the AdS / QCD correspondence, focusing in particular on a recently calculated AdS-like metric deformed by back-reaction effects. We find that tuning the long-distance behaviour of the potential leads to a discrepancy at small distances, and discuss how to better constrain AdS / QCD geometries. A systematic comparison of various geometries is presented, based on goodness of fit to lattice data in the quenched approximation. The back-reacted geometry is seen to be phenomenologically favoured over an alternative geometry with the same number of parameters, although it does not perform as well as some other geometries.