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 ${\mu }_I=0$.

arXiv comment18 pages, 6 figures

References in corpus (27)

• Holographic phase transitions at finite baryon density
• The QCD phase diagram at nonzero quark density
• Holographic chiral phase transition with chemical potential
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Anti-de Sitter Space and the Center of the Gauge Group
• Deconfinement phase transition and the quark condensate
• Dual quark condensate and dressed Polyakov loops
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• Holographic QCD with Dynamical Flavors
• Theta dependence of the deconfinement temperature in Yang-Mills theories
• Curvature of the chiral pseudo-critical line in QCD
• Towards A Holographic Model of Color Superconductivity
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• A Holographic Description of Colour Superconductivity
• Fermionic boundary conditions and the finite temperature transition of QCD
• Holographic cold nuclear matter as dilute instanton gas
• Holographic Roberge-Weiss Transitions
• Quark number holonomy and confinement-deconfinement transition
• Color Superconductivity in Holographic SYM Theory
• Topological deconfinement transition in QCD at finite isospin density
• Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model
• Holographic cold nuclear matter and neutron star
• Dressed Polyakov loop and flavor dependent phase transitions
• Physical interpretation of the dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Thermodynamics of QCD from Sakai-Sugimoto Model
• Dirac-mode expansion of quark number density and its implications of the confinement-deconfinement transition
• Dirac-mode analysis for quark number density and its application for deconfinement transition

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