Quantifying the Uncertainty on the Location of the Holographic Critical Point



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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(?), and another corresponding to the coupling between the Maxwell and dilation fields, f(?). By modifying these free functions, we study a possible change in the predicted location of the critical point in the phase diagram.