Holographic Colour Superconductors at Finite Coupling with NJL Interactions

Abstract

We study a bottom-up holographic description of the QCD colour superconducting phase in the presence of higher derivative corrections. We expand this holographic model in the context of Gauss-Bonnet (GB) gravity. The Cooper pair condensate has been investigated in the deconfinement phase for different values of the GB coupling parameter $\lambda_{G B}$, we observe a change in the value of the critical chemical potential $\mu_c$ in comparison to Einstein gravity. We find that $\mu_c$ grows as $\lambda_{G B}$ increases. We add four fermion interactions and show that in the presence of these corrections the main interesting features of the model are still present and that the intrinsic attractive interaction can not be switched off. This study suggests to find GB corrections to equation of state of holographic QCD matter.