Hydrodynamics of simply spinning black holes &amp; hydrodynamics for spinning quantum fluids

Self Cite

We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography.

Section: Chiral Vortical Chiral Magnetic Chiral Thermal Conductivities ξ = ξ T B ξ B ξ Tmentioning

confidence: 99%

“…See also [5,32] for the relation between the two formalisms. Anisotropic effects not related to magnetic fields have also been included in holography in the hydrodynamic approximation [64][65][66][67].…”

Section: Introductionmentioning

confidence: 99%

Chiral hydrodynamics in strong external magnetic fields

Ammon

Grieninger

Hernandez

et al. 2021

Self Cite

“…Interestingly, we see that our rotating fluid has a direct analogy to the energy-momentum tensor of the extremal Myers-Perry black hole [51, 67-69, 98, 99]. In the conventions of [100], the energy density and pressures are given by,…”

Section: Jhep03(2021)229mentioning

confidence: 99%

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Cartwright

Harms

Kaminski

2021

Self Cite

We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory coupled to an SU(2)-current. All solutions are fully backreacted asymptotically Anti-de Sitter (AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.

“…However, we expect our results to hold for other theories and other background metrics as well. As an extension of our analysis one may consider the QNMs of the Reissner-Nordström [31,32], the rotating [52] or charged magnetic [53][54][55][56] black branes. It would be interesting to repeat the above computation in theories with gapped half integer spin perturbations corresponding to introducing fermionic operators [25,57,58].…”

Section: Jhep03(2021)265mentioning

confidence: 99%

Constraints on quasinormal modes and bounds for critical points from pole-skipping

Abbasi

Kaminski

2021

Self Cite

We consider a holographic thermal state and perturb it by a scalar operator whose associated real-time Green’s function has only gapped poles. These gapped poles correspond to the non-hydrodynamic quasinormal modes of a massive scalar perturbation around a Schwarzschild black brane. Relations between pole-skipping points, critical points and quasinormal modes in general emerge when the mass of the scalar and hence the dual operator dimension is varied. First, this novel analysis reveals a relation between the location of a mode in the infinite tower of quasinormal modes and the number of pole-skipping points constraining its dispersion relation at imaginary momenta. Second, for the first time, we consider the radii of convergence of the derivative expansions about the gapped quasinormal modes. These convergence radii turn out to be bounded from above by the set of all pole-skipping points. Furthermore, a transition between two distinct classes of critical points occurs at a particular value for the conformal dimension, implying close relations between critical points and pole-skipping points in one of those two classes. We show numerically that all of our results are also true for gapped modes of vector and tensor operators.