Quantifying the uncertainty on the location of the holographic critical point

In Quantum Chromodynamics (QCD), we study the behavior of strongly interacting matter made up of quarks and gluons. The transition between the confined and low-energy phase called hadron gas and the deconfined and hot quark gluon plasma phase is a smooth crossover at vanishing density. However, it has been conjectured the crossover must evolve into a line of first order phase transition with a critical end point. By using an Einstein-Maxwell-Dilaton (EMD) model, fixed to reproduce the Lattice-QCD equation of state at vanishing chemical potential, we predict the location of a critical end point in the phase diagram. Two free functions in the EMD model are fixed to reproduce the lattice equation of state, a scalar dilation potential V(φ), and another corresponding to the coupling between the Maxwell and dilation fields, f(φ). By modifying these free functions, we study a possible change in the predicted location of the critical point in the phase diagram.