More realistic holographic model of color superconductivity with higher derivative corrections

In this paper, we have constructed a bottom-up holographic model for the color superconductivity (CSC) of Yang-Mills theory with including higher derivative corrections which allow us to study CSC phase number ${N}_{c}\ensuremath{\ge}2$. First, consider transition in context Einstein-Gauss-Bonnet (EGB) gravity. We analyze Cooper pair condensate deconfinement and confinement phases are dual planar GB-RN-AdS black hole GB-AdS soliton, respectively, where backreaction matter part is taken into account. By examining breakdown Breitenlohner-Freedman bound background hole, find that positive GB coupling parameter $\ensuremath{\alpha}>0$ leads lower upper comparison Einstein gravity ${N}_{c}\ensuremath{\ge}2$ not realized. But, $\ensuremath{\alpha}<0$ case it possible observe reasonable magnitude $\ensuremath{\alpha}$. This confirmed corresponding diagram found by solving numerically equations motion gravitational system. addition, show disappears $\ensuremath{\alpha}$ below certain value means beyond might lead region EGB investigating phase. However, occurring requires be rather large. As result, term would no longer considered as correction also violates boundary causality bound. resolve problem additionally Maxwell electrodynamics nonminimal coupled field.