Gravitational Anomaly and Hydrodynamics

Abstract

We study the anomalous induced current of a vortex in a relativistic fluid via the chiral vortical effect, which is analogous to the anomalous current induced by a magnetic field via the chiral magnetic effect. We perform this analysis at weak and strong coupling. We discuss inequivalent implementations to the chemical potential for an anomalous symmetry. At strong coupling we use a holographic model with a pure gauge and mixed gauge-gravitational Chern-Simons term in the action. We discuss the holographic renormalization and show that the Chern-Simons terms do not induce new divergences. Strong and weak coupling results agree precisely. We also point out that the holographic calculation can be done without a singular gauge field configuration on the horizon of the black hole.

11 pages, 2 figures, 1 table; based on a talk at Seventh International Conference Quantum Theory and Symmetries (QTS-7), Prague, Czech Republic, August 7-13, 2011; v2 expanded discussion in Sections 3 and 4, added fig. 2 and references

References in corpus (11)

• The Chiral Magnetic Effect
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Nonlinear Fluid Dynamics from Gravity
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Gravitational Anomaly and Transport
• Chiral Magnetic conductivity
• Relativistic Hydrodynamics with General Anomalous Charges
• Holographic Gravitational Anomaly and Chiral Vortical Effect
• The Sphaleron Rate in SU(N) Gauge Theory
• Hydrodynamics of Holographic Superconductors
• Some Field Theoretic Issues Regarding the Chiral Magnetic Effect

Cited by in corpus (19)

• Anomalous Transport from Kubo Formulae
• Fluids, Anomalies and the Chiral Magnetic Effect: A Group-theoretic Formulation
• Anomalous Magneto Response and the Stückelberg Axion in Holography
• Chiral hydrodynamics in strong external magnetic fields
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• Constraints on Anomalous Fluid in Arbitrary Dimensions
• Anomalies and the Helicity of the Thermal State
• Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
• Topological term, QCD anomaly, and the eta' chiral soliton lattice in rotating baryonic matter
• A chiral magnetic spiral in the holographic Sakai-Sugimoto model
• Holographic Charged Fluid with Anomalous Current at Finite Cutoff Surface in Einstein-Maxwell Gravity
• Central Production of Eta and Eta-prime via Double Pomeron Exchange in the Sakai-Sugimoto Model
• The Isospin Asymmetry in Anomalous Fluid Dynamics
• Magnetoconductivity in chiral Lifshitz hydrodynamics
• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
• Inverted c-functions in thermal states
• Anomaly induced transport in non-anomalous currents
• Anomalous transport and massive gravity theories
• Sonic velocity in holographic fluids and its applications