Gravitational Anomaly and Transport Phenomena
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- July 2011
- DOI:
- 10.1103/PhysRevLett.107.021601
- arXiv:
- arXiv:1103.5006
- Bibcode:
- 2011PhRvL.107b1601L
- Keywords:
-
- 11.15.-q;
- 11.10.Wx;
- 11.40.-q;
- 67.10.Jn;
- Gauge field theories;
- Finite-temperature field theory;
- Currents and their properties;
- Transport properties and hydrodynamics;
- High Energy Physics - Phenomenology;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory;
- Nuclear Theory
- E-Print:
- 4 pages, 1 figure, v2: essentially the version published in Physcial Review Letters