Holographic QCD in the Veneziano Limit at a Finite Magnetic Field and Chemical Potential

Abstract

We investigate QCD-like gauge theories at strong coupling at a finite magnetic field B, temperature T, and quark chemical potential μ using the improved holographic QCD model, including the full backreaction of the quarks in the plasma. In addition to the phase diagram, we study the behavior of the quark condensate as a function of T, B, and μ and discuss the fate of (inverse) magnetic catalysis at a finite μ. In particular, we observe that inverse magnetic catalysis exists only for small values of the chemical potential. The speed of sound in this holographic quark-gluon plasma exhibits interesting dependence on the thermodynamic parameters.