Holographic Roberge-Weiss Transitions

Abstract

We investigate N=4 SYM coupled to fundamental flavours at nonzero imaginary quark chemical potential in the strong coupling and large N limit, using gauge/gravity duality applied to the D3-D7 system, treating flavours in the probe approximation. The interplay between Z(N) symmetry and the imaginary chemical potential yields a series of first-order Roberge-Weiss transitions. An additional thermal transition separates phases where quarks are bound/unbound into mesons. This results in a set of Roberge-Weiss endpoints: we establish that these are triple points, determine the Roberge-Weiss temperature, give the curvature of the phase boundaries and confirm that the theory is analytic in mu^2 when mu^2~0.

37 pages, 13 figures; minor comments added, to appear in JHEP

References in corpus (24)

• Holographic Phase Transitions with Fundamental Matter
• A holographic model of deconfinement and chiral symmetry restoration
• On the relation of quark confinement and chiral symmetry breaking
• Holographic spectral functions and diffusion constants for fundamental matter
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• QCD Thermodynamics from the Lattice
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• Chiral Transition of N=4 Super Yang-Mills with Flavor on a 3-Sphere
• A Topology-Changing Phase Transition and the Dynamics of Flavour
• Baryon-charge Chemical Potential in AdS/CFT
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Roberge-Weiss phase transition and its endpoint
• D3/D7 holographic Gauge theory and Chemical potential
• The phase diagram of QCD with four degenerate quarks
• Quasiparticle Model of Quark-Gluon Plasma at Imaginary Chemical Potential
• Meson widths from string worldsheet instantons
• Metastability of R-Charged Black Holes
• Condensed matter physics of a strongly coupled gauge theory with quarks: some novel features of the phase diagram
• Universality of Holographic Phase Transitions and Holographic Quantum Liquids
• Fate of Z(N) walls in hot holographic QCD
• Holographic Thermodynamics and Transport of Flavor Fields

Cited by in corpus (28)

• 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
• Complex Langevin dynamics and other approaches at finite chemical potential
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• 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
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Holographic Duals of Quark Gluon Plasmas with Unquenched Flavors
• The Roberge-Weiss transition and 't Hooft loops
• Nature of the Roberge-Weiss transition end points in two-flavor lattice QCD with Wilson quarks
• Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model
• The three-dimensional, three state Potts model in a negative external field
• Nature of Roberge-Weiss transition end points for heavy quarks in $N_f=2$ lattice QCD with Wilson fermions
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• 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
• Confinement and Graded Partition Functions for $\mathcal{N}=4$ SYM
• Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• Novel vortices and the role of complex chemical potential in a rotating holographic superfluid