Axial anomalies realize in flux detectors as massless-limit collapse of angular distributions onto beam-collinear deltas while preserving the integrated anomaly sum rule, with the same mechanism for zilch and mixed gravitational channels.
Notes on Anomaly Induced Transport
5 Pith papers cite this work. Polarity classification is still indexing.
abstract
Chiral anomalies give rise to dissipationless transport phenomena such as the chiral magnetic and vortical effects. In these notes I review the theory from a quantum field theoretic, hydrodynamic and holographic perspective. A physical interpretation of the otherwise somewhat obscure concepts of consistent and covariant anomalies will be given. Vanishing of the CME in strict equilibrium will be connected to the boundary conditions in momentum space imposed by the regularization. The role of the gravitational anomaly will be explained. That it contributes to transport in an unexpectedly low order in the derivative expansion can be easiest understood via holography. Anomalous transport is supposed to play also a key role in understanding the electronics of advanced materials, the Dirac- and Weyl (semi)metals. Anomaly related phenomena such as negative magnetoresistivity, anomalous Hall effect, thermal anomalous Hall effect and Fermi arcs can be understood via anomalous transport. Finally I briefly review a holographic model of Weyl semimetal which allows to infer a new phenomenon related to the gravitational anomaly: the presence of odd viscosity.
representative citing papers
Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
Unified computation of chiral anomalous transport effects including mass corrections from integrating out a Dirac fermion in EFT at finite temperature, showing physical currents differ from Chern-Simons terms.
Axial anomaly form is unchanged in dense matter via Ward identity cancellation, yielding a Fermi-velocity-suppressed persistent chiral magnetic current set by axial chemical potential.
citing papers explorer
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Anomaly Realization in Charge-Flux Detector Correlators
Axial anomalies realize in flux detectors as massless-limit collapse of angular distributions onto beam-collinear deltas while preserving the integrated anomaly sum rule, with the same mechanism for zilch and mixed gravitational channels.
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Fermionic domain-wall Skyrmions of QCD in a magnetic field
Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.
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Chiral Plasma under Strong Magnetic Fields: A Holographic Analysis of Transport Phenomena
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
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Anomalous Transport from Effective Field Theory
Unified computation of chiral anomalous transport effects including mass corrections from integrating out a Dirac fermion in EFT at finite temperature, showing physical currents differ from Chern-Simons terms.
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Revisiting the Axial Anomaly and Chiral Magnetic Effect in Dense Matter, with Applications to Axion Dark Matter
Axial anomaly form is unchanged in dense matter via Ward identity cancellation, yielding a Fermi-velocity-suppressed persistent chiral magnetic current set by axial chemical potential.