Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model

Abstract

We extend the work of Aarts et al., including an imaginary chemical potential for quark number into the Sakai-Sugimoto model and codimension k defect theories. The phase diagram of these models are a function of three parameters, the temperature, chemical potential and the asymptotic separation of the flavour branes, related to a mass for the quarks in the boundary theories. We compute the phase diagrams and the pressure due to the flavours of the theories as a function of these parameters and show that there are Roberge-Weiss transitions in the high temperature phases, chiral symmetry restored for the Sakai-Sugimoto model and deconfined for the defect models, while at low temperatures there are no Roberge-Weiss transitions. In all the models we consider the transitions between low and high temperature phases are first order, hence the points where they meet the Roberge-Weiss lines are triple points. The pressure for the defect theories scales in the way we expect from dimensional analysis while the Sakai-Sugimoto model exhibits unusual scaling. We show that the models we consider are analytic in μ^2 when μ^2 is small.

39 pages, 12 figures. references added, Sakai-Sugimoto section revised, version to appear in JHEP

References in corpus (7)

• A holographic model of deconfinement and chiral symmetry restoration
• Chiral Phase Transition from String Theory
• Transport Properties of Holographic Defects
• Rho meson condensation at finite isospin chemical potential in a holographic model for QCD
• D3-D7 Quark-Gluon Plasmas at Finite Baryon Density
• Holographic QCD with Isospin Chemical Potential
• Fate of Z(N) walls in hot holographic QCD

Cited by in corpus (17)

• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Holographic QCD with Dynamical Flavors
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Confinement and Z_3 symmetry in three-flavor QCD
• Anomaly matching in QCD thermal phase transition
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Holographic Duals of Quark Gluon Plasmas with Unquenched Flavors
• The Roberge-Weiss transition and 't Hooft loops
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Extension to Imaginary Chemical Potential in a Holographic Model
• Thermodynamics of QCD from Sakai-Sugimoto Model
• Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory
• Novel vortices and the role of complex chemical potential in a rotating holographic superfluid