Kinetic theory with Berry curvature from quantum field theories

Abstract

A kinetic theory can be modified to incorporate triangle anomalies and the chiral magnetic effect by taking into account the Berry curvature flux through the Fermi surface. We show how such a kinetic theory can be derived from underlying quantum field theories. Using the new kinetic theory, we also compute the parity-odd correlation function that is found to be identical to the result in the perturbation theory in the next-to-leading order hard dense loop approximation.

21 pages; v2: typos fixed, references updated, published version

References in corpus (10)

• 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
• Chiral Kinetic Theory
• Chiral Magnetic conductivity
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Gradient expansion approach to multiple-band Fermi liquids
• Anomalous Zero Sound

Cited by in corpus (266)

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• Charge separation with fluctuating domains in relativistic heavy-ion collisions
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
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• Helical magnetic effect and the chiral anomaly
• Topological Properties of the Chiral Magnetic Effect in Multi-Weyl Semimetals
• Dynamic chiral magnetic effect and anisotropic natural optical activity of tilted Weyl semimetals
• Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
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• Causal and stable first-order chiral hydrodynamics
• On Magnetostatics of Chiral Media
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
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• Hydrodynamic Waves in an Anomalous Charged Fluid
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• Competition between magnetic catalysis effect and chiral rotation effect
• Mass Effect on Axial Charge Dynamics
• Chiral response in lattice models of Weyl materials
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• Chiral magnetic effect of hot electrons
• Simulating chiral anomalies with spin dynamics
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• Out-of-equilibrium chiral and $U_A(1)$ symmetry breaking in electromagnetic fields
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• Effective field theory of Berry Fermi liquid from the coadjoint orbit method
• Chiral Anomalous Dispersion
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
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• Photon Self-energy in Magnetized Chiral Plasma from Kinetic Theory
• Anomalous Gurzhi effect
• Power corrections and gradient expansion in QED transport theory
• A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions
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• Nonconservation of lepton current and asymmetry of relic neutrinos
• Anomalous scattering and transport in chiral matter
• Some Features of Semiclassical Chiral Transport in Rotating Frames
• Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids
• Chiral magnetohydrodynamics for heavy-ion collisions
• Berry's phase and chiral anomalies
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• On the Chiral imbalance and Weibel Instabilities
• Abelian and non-Abelian Berry curvatures in lattice QCD
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• Electromagnetic instability induced by neutrino interaction
• The anomalous transport of axial charge: topological vs non-topological fluctuations
• Magnetic helicity in plasma of chiral fermions electroweakly interacting with inhomogeneous matter
• Primordial Generation of Magnetic Fields
• Chiral Anomaly, Dirac Sea and Berry monopole in Wigner Function Approach
• Weyl systems: anomalous transport normally explained
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• Chiral magnetic effect in the hadronic phase
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• Magnetic monopole in a chiral plasma: chiral dyon
• Chiral Anomaly Trapped in Weyl Metals: Nonequilibrium Valley Polarization at Zero Magnetic Field
• Collective dynamics of Fermi-surface fluctuations in an interacting Weyl metal phase
• World-line formulation of chiral kinetic theory in topological background gauge fields
• Lepton pair production in ultra-peripheral collisions
• Reduction for one-loop tensor Feynman integrals in the relativistic quantum field theories at finite temperature and/or finite density
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• Viscoelastic response and anisotropic hydrodynamics in Weyl semimetals
• Anomalous Dynamical Screening of Relativistic Plasma in a Magnetic Field
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions
• Anomalous Hall Effect for semiclassical chiral fermions
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• Gradient expansion of the non-Abelian gauge-covariant Moyal star-product
• Helicity conservation in perfect electromagnetic and chiral fluids
• Magnetic helicity in rotating neutron stars