Anomaly-induced transport phenomena from the imaginary-time formalism

Abstract

A derivation of the anomaly-induced transport phenomena---the chiral magnetic/vortical effect---is revisited based on the imaginary-time formalism of quantum field theory. Considering the simplest anomalous system composed of a single Weyl fermion, we provide two derivations: perturbative (one-loop) evaluation of the anomalous transport coefficient, and the anomaly matching for the local thermodynamic functional.

20 pages, 1 figure

References in corpus (22)

• The Chiral Magnetic Effect
• Topological response in Weyl semimetals and the chiral anomaly
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• Chiral Magnetic Wave
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Lorentz Invariance in Chiral Kinetic Theory
• Collisions in Chiral Kinetic Theory
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Chiral kinetic theory in curved spacetime
• Vacuum structure of bifundamental gauge theories at finite topological angles
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• Magnetohydrodynamics as superfluidity
• Constructing phase space distributions with internal symmetries
• Chiral magnetic plasmons in anomalous relativistic matter
• Effective field theory of magnetohydrodynamics from generalized global symmetries
• Anomaly matching in QCD thermal phase transition
• Anomalous magnetohydrodynamics in the extreme relativistic domain

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• Revisiting relativistic magnetohydrodynamics from quantum electrodynamics
• Global anomaly matching in higher-dimensional ${\mathbb{CP}}^{N-1}$ model
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Relativistic second-order dissipative hydrodynamics from Zubarev's non-equilibrium statistical operator