Gravitational Anomaly and Transport

Abstract

Quantum anomalies give rise to new transport phenomena. In particular a magnetic field can induce an anomalous current via the chiral magnetic effect and a vortex in the relativistic fluid can also induce a current via the chiral vortical effect. The related transport coefficients can be calculated via Kubo formulas. We evaluate the Kubo formula for the anomalous vortical conductivity at weak coupling and show that it receives contributions proportional to the gravitational anomaly coefficient. The gravitational anomaly gives rise to an anomalous vortical effect even for an uncharged fluid.

arXiv comment4 pages, 1 figure, v2: essentially the version published in Physcial Review Letters

References in corpus (14)

• The Chiral Magnetic Effect
• Hydrodynamics with Triangle Anomalies
• Fluid dynamics of R-charged black holes
• Charge separation induced by P-odd bubbles in QCD matter
• Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
• Hydrodynamics from charged black branes
• Quantum Anomalies in Dense Matter
• Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy ion collisions
• Chiral Magnetic conductivity
• Leptogenesis from Gravity Waves in Models of Inflation
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Relativistic Hydrodynamics with General Anomalous Charges
• Anomalous transport coefficients from Kubo formulas in Holography
• Hydrodynamics and the Detection of the QCD Axial Anomaly in Heavy Ion Collisions

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