Chiral and Gravitational Anomalies on Fermi Surfaces

A Fermi surface threaded by a Berry phase can be described by the Wess-Zumino-Witten (WZW) term. After gauging, it produces a five-dimensional Chern-Simons term in the action. We show how this Chern-Simons term captures the essence of the Abelian, non-Abelian, and mixed gravitational anomalies in describing both in- and off-equilibrium phenomena. In particular we derive a novel contribution to the Chiral Vortical Effect that arises when a temperature gradient is present. We also discuss the issue of universality of the anomalous currents.

Note:

5 pages, 1 figure

11.30.Rd
03.65.Vf
anomaly: gravitation
dimension: 5
Chern-Simons term
Fermi surface
universality
Berry phase
temperature
nonabelian

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