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In a three-dimensional Fermi liquid, quasiparticles near the Fermi surfacemay possess a Berry curvature. We show that if the Berry curvature has anonvanishing flux through the Fermi surface, the particle number associatedwith this Fermi surface has a triangle anomaly in external electromagneticfields. We show how Landau's Fermi liquid theory should be modified to takeinto account the Berry curvature. We show that the "chiral magnetic effect"also emerges from the Berry curvature flux.

Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids