Holographic Colour Superconductors at Finite Coupling with NJL Interactions

TL;DR

This paper explores how higher derivative Gauss-Bonnet gravity corrections influence the holographic description of color superconductivity in QCD, revealing that these corrections increase the critical chemical potential and do not eliminate intrinsic attractive interactions.

Contribution

It introduces Gauss-Bonnet gravity corrections into holographic QCD models of color superconductivity and analyzes their effects on the critical chemical potential and fermion interactions.

Findings

Critical chemical potential increases with Gauss-Bonnet coupling.

Intrinsic attractive interactions remain robust despite higher derivative corrections.

Gauss-Bonnet corrections influence the equation of state of holographic QCD matter.

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.