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Gravitational anomaly and transport phenomena.
Karl Landsteiner1, Eugenio Megías, Francisco Pena-Benitez
1Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera 13-15, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain.
Physical Review Letters
|July 30, 2011
Summary
Quantum anomalies create new transport phenomena. The chiral vortical effect, influenced by fluid vortices, generates current, with gravitational anomalies enabling this even in uncharged fluids.
Area of Science:
- Condensed matter physics
- Quantum field theory
- Relativistic hydrodynamics
Background:
- Quantum anomalies lead to unique transport phenomena like the chiral magnetic effect (magnetic fields inducing current) and the chiral vortical effect (vortices inducing current).
- Transport coefficients are typically calculated using Kubo formulas.
Purpose of the Study:
- To evaluate the Kubo formula for anomalous vortical conductivity at weak coupling.
- To investigate the role of gravitational anomalies in fluid transport phenomena.
Main Methods:
- Calculation of the Kubo formula for anomalous vortical conductivity.
- Analysis of contributions related to the gravitational anomaly coefficient.
Main Results:
- The anomalous vortical conductivity receives contributions proportional to the gravitational anomaly coefficient.
- The gravitational anomaly drives an anomalous vortical effect.
Conclusions:
- Gravitational anomalies can induce anomalous vortical effects in fluids, even in the absence of charge.
- This finding expands the understanding of quantum anomalies and their impact on relativistic fluid dynamics.
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