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

Gürsoy, Umut (Institute for Theoretical Physics and Center for Extreme Matter and Emergent Phenomena, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, Netherlands) ; Järvinen, Matti (Institut de Physique Théorique Philippe Meyer and Laboratoire de Physique Théorique, École Normale Supérieure, PSL Research University, CNRS, 24 rue Lhomond, 75231 Paris Cedex 05, France) ; Nijs, Govert (Institute for Theoretical Physics and Center for Extreme Matter and Emergent Phenomena, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, Netherlands)

12 June 2018

Abstract: We investigate QCD-like gauge theories at strong coupling at a finite magnetic field $B$, temperature $T$, and quark chemical potential $\mu$ 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 $\mu$ and discuss the fate of (inverse) magnetic catalysis at a finite $\mu$. 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.

Published in: Physical Review Letters 120 (2018)