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.

arXiv comment20 pages, 1 figure

References in corpus (100)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral magnetic effect in ZrTe5
• Hydrodynamics with Triangle Anomalies
• Topological response in Weyl semimetals and the chiral anomaly
• Recent developments in transport phenomena in Weyl semimetals
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Fluid dynamics of R-charged black holes
• Theta, Time Reversal, and Temperature
• Gravitational Anomaly and Transport
• Chiral Kinetic Theory
• Hydrodynamics from charged black branes
• Chiral Magnetic Wave
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Kinetic theory with Berry curvature from quantum field theories
• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Towards hydrodynamics without an entropy current
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Notes on Anomaly Induced Transport
• Self-consistent evolution of magnetic fields and chiral asymmetry in the early Universe
• Thermodynamics, gravitational anomalies and cones
• Lorentz Invariance in Chiral Kinetic Theory
• Chiral Plasma Instabilities
• Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
• Anomaly related transport of Weyl fermions for Weyl semi-metals
• Axion response in Weyl semimetals
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Generalized global symmetries and dissipative magnetohydrodynamics
• Triangle anomaly in Weyl semi-metals
• Collisions in Chiral Kinetic Theory
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Adiabatic hydrodynamics: The eightfold way to dissipation
• Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals
• Relativistic magnetohydrodynamics
• Anomalous Chiral Transport in Heavy Ion Collisions from Anomalous-Viscous Fluid Dynamics
• Kubo formulas for relativistic fluids in strong magnetic fields
• A condensed matter realization of the axial magnetic effect
• (Non)-Renormalization of the Chiral Vortical Effect Coefficient
• 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 transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
• Anomaly constraints on deconfinement and chiral phase transition
• Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1{)}^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations
• Anomalous Transport from Kubo Formulae
• Anomalous transport coefficients from Kubo formulas in Holography
• Anomaly inflow and thermal equilibrium
• Triangle Anomalies, Thermodynamics, and Hydrodynamics
• Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
• Chiral kinetic theory in curved spacetime
• Magnetohydrodynamics of Chiral Relativistic Fluids
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• Chern-Simons terms from thermal circles and anomalies
• Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
• Vacuum structure of bifundamental gauge theories at finite topological angles
• Circle compactification and 't Hooft anomaly
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• World-line construction of a covariant chiral kinetic theory
• Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory
• Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
• Chiral conductivities and effective field theory
• Topological Currents in Neutron Stars: Kicks, Precession, Toroidal Fields, and Magnetic Helicity
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method
• Chiral Magnetic Effect in Protoneutron Stars and Magnetic Field Spectral Evolution
• Magnetohydrodynamics as superfluidity
• General equilibrium second-order hydrodynamic coefficients for free quantum fields
• Realistic Implementation of Chiral Magnetic Wave in Heavy Ion Collisions
• Scaling laws in chiral hydrodynamic turbulence
• Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
• On time-reversal anomaly of 2+1d topological phases
• Anomalous Maxwell equations for inhomogeneous chiral plasma
• Anomalous-hydrodynamic analysis of charge-dependent elliptic flow in heavy-ion collisions
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• C-P-T anomaly matching in bosonic quantum field theory and spin chains
• MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
• Anomalous transport properties of Dirac and Weyl semimetals
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Chiral magnetohydrodynamic turbulence in core-collapse supernovae
• Constraints on Anomalous Fluid in Arbitrary Dimensions
• Hydrodynamics with chiral anomaly and charge separation in relativistic heavy ion collisions
• Constructing phase space distributions with internal symmetries
• Chiral Langevin theory for non-Abelian plasmas
• General thermodynamic equilibrium with axial chemical potential for the free Dirac field
• Effective field theory of magnetohydrodynamics from generalized global symmetries
• Chiral magnetic plasmons in anomalous relativistic matter
• Path-integral formula for local thermal equilibrium
• Anomaly matching in QCD thermal phase transition
• The chiral magnetic effect in heavy-ion collisions from event-by-event anomalous hydrodynamics
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Laughlin's argument for the quantized thermal Hall effect
• Anomalous magnetohydrodynamics in the extreme relativistic domain
• Nonrelativistic hydrodynamics from quantum field theory: (I) Normal fluid composed of spinless Schrödinger fields

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• Relativistic second-order dissipative hydrodynamics from Zubarev's non-equilibrium statistical operator
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