Extension to Imaginary Chemical Potential in a Holographic Model

Abstract

We extend a bottom up holographic model, which has been used in studying the color superconductivity in QCD, to the imaginary chemical potential (${\mu }_I$) region, and the phase diagram is studied on the ${\mu }_I$-temperature (T) plane. The analysis is performed for the case of the probe approximation and for the background where the back reaction from the flavor fermions are taken into account. For both cases, we could find the expected Roberge-Weiss (RW) transitions. In the case of the back-reacted solution, a bound of the color number $N_c$ is found to produce the RW periodicity. It is given as $N_c\ge 1.2$. Furthermore, we could assure the validity of this extended model by comparing our result with the one of the lattice QCD near ${\mu }_I=0$.

18 pages, 6 figures

References in corpus (6)

• The QCD phase diagram at nonzero quark density
• Dual quark condensate and dressed Polyakov loops
• Holographic QCD with Dynamical Flavors
• Curvature of the chiral pseudo-critical line in QCD
• Color Superconductivity in Holographic SYM Theory
• Dirac-mode expansion of quark number density and its implications of the confinement-deconfinement transition

Cited by in corpus (2)

• Vortices in a rotating holographic superfluid with Lifshitz scaling
• Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory