1209.3104 (D. Momeni et al.)

Condensation of the scalar field with Stuckelberg and Weyl Corrections
in the background of a planar AdS-Schwarzschild black hole    [PDF]

D. Momeni, M. R. Setare, Ratbay Myrzakulov

We study analytical properties of the Stuckelberg holographic superconductors with Weyl corrections. We obtain the minimum critical temperature as a function of the mass of the scalar field $m^2$. We show that in limit of the $m^2=-3$,$T^{Min}_c\approx0.158047\sqrt[3]{\rho}$ which is close to the numerical estimate $T_c^{Numerical}\approx 0.170\sqrt[3]{\rho}$. Further we show that the mass of the scalar field in bounded from below by the $ m^2>m_c^2$ where $m_c^2=-5.40417$. This lower bound is weaker and different from the previous lower bound $m^2=-3$ predicted by stability analysis. We show that in the Breitenlohner-Freedman bound, the critical temperature remains finite. Explicitly, we prove that here there is exist a linear relation between $$ and the chemical potential.

View original: http://arxiv.org/abs/1209.3104