Chiral Magnetic and Vortical Effects in Higher Dimensions at Weak Coupling

Abstract

Chiral Magnetic Effect and Chiral Vortical Effect are parity odd transport phenomena originating from chiral anomaly, and have generalizations to all even dimensional space-time higher than four dimensions. We attempt to compute the associated P-odd retarded response functions in the weak coupling limit of chiral fermion theory in all even dimensions, using the diagrammatic technique of real-time perturbation theory. We also clarify the necessary Kubo formula relating the computed P-odd retarded correlation functions and the associated anomalous transport coefficients. We speculate on the 8-fold classification of topological phases.

43 pages, 5 figures

References in corpus (11)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Charge separation induced by P-odd bubbles in QCD matter
• Gravitational Anomaly and Transport
• Quantum Anomalies in Dense Matter
• Chiral Magnetic conductivity
• Chiral anomaly and local polarization effect from quantum kinetic approach
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Chiral asymmetry and axial anomaly in magnetized relativistic matter