A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions

Abstract

In terms of the matrix valued Berry gauge field strength for the Weyl Hamiltonian in any even spacetime dimensions a symplectic form whose elements are matrices in spin indices is introduced. Definition of the volume form is modified appropriately. A simple method of finding the path integral measure and the chiral current in the presence of external electromagnetic fields is presented. It is shown that within this new approach the chiral magnetic effect as well as the chiral anomaly in even d+1 dimensions are accomplished straightforwardly.

15 pages. Minor changes made, matches the published version

References in corpus (6)

• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
• Spin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system
• Topological Concepts for the Weyl Hamiltonians with the Berry Gauge Field

Cited by in corpus (4)

• Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
• Relation Between the Spin Hall Conductivity and the Spin Chern Number for Dirac-like Systems
• A Semiclassical Kinetic Theory of Dirac Particles and Thomas Precession
• Spin Currents of Charged Dirac Particles in Rotating Coordinates