English

Gravitational Anomaly and Transport

High Energy Physics - Phenomenology 2011-08-01 v2 Strongly Correlated Electrons High Energy Physics - Theory Nuclear Theory

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.

Keywords

Cite

@article{arxiv.1103.5006,
  title  = {Gravitational Anomaly and Transport},
  author = {Karl Landsteiner and Eugenio Megias and Francisco Pena-Benitez},
  journal= {arXiv preprint arXiv:1103.5006},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T17:44:36.412Z