Universality classes of Symmetry Energy in holographic QCD

Abstract

We consider nuclear symmetry energy of dense matter using holographic QCD. We calculate it in a various holographic QCD models and show that the scaling index of the symmetry energy in dense medium does not change under the smooth deformation of the metric and that of the embedding shape of the probe brane. We find that the scaling power depends only on the dimensionality of the branes and space-time. Therefore the scaling index of the symmetry energy characterizes the universality classes of holographic QCD models. We tried to relate the scaling power to the non-fermi liquid behavior of the interacting nucleons.