Hydrodynamics with Triangle Anomalies

Abstract

We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserve current is not only allowed by symmetries, but is in fact required by triangle anomalies and the second law of thermodynamics. This term leads to a number of new effects, one of which is chiral separation in a rotating fluid at nonzero chemical potential. The new kinetic coefficients can be expressed, in a unique fashion, through the anomalies coefficients and the equation of state. We briefly discuss the relevance of this new hydrodynamic term for physical situations, including heavy ion collisions.

4 pages; v2: error in Eq.(4) corrected

References in corpus (3)

• The Chiral Magnetic Effect
• Nonlinear Fluid Dynamics from Gravity
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries

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• Contribution of the chiral vortical effect to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the early Universe
• Charge asymmetry dependence of the elliptic flow splitting in relativistic heavy-ion collisions
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Higher spin vortical Zilches from Kubo formulae
• Nonlinear Chiral Plasma Transport in Rotating Coordinates
• Chiral Magnetic and Vortical Effects in Higher Dimensions at Weak Coupling
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly
• Magnetic Field in the Charged Subatomic Swirl
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Anomalous transport model with axial magnetic fields
• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
• Nonlinear chiral kinetic theory
• Induced Chern-Simons modified gravity at finite temperature
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• Anomalies in fluid dynamics: flows in a chiral background via variational principle
• Chiral anomaly and dynamos from inhomogeneous chemical potential fluctuations
• Tilt induced vortical response and mixed anomaly in inhomogeneous Weyl matter
• Shear-induced anomalous transport and charge asymmetry of triangular flow in heavy-ion collisions
• Rotating fermions inside a spherical boundary
• Holographic dual of a boost-invariant plasma with chemical potential
• Anomalies and Transport Coefficients: The Chiral Gravito-Magnetic Effect
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Delineating chiral separation effect in two-color dense QCD
• Ultraspinning limits and rotating hyperboloid membranes
• Shear sum rules at finite chemical potential
• Chiral asymmetry in cold QED plasma in a strong magnetic field
• Anomalous Hall instability in the Chern-Simons magnetohydrodynamics
• Dynamics of vortices in chiral media: the chiral propulsion effect
• Magneto-vortical effect in strongly coupled plasma
• Constraints on Rindler Hydrodynamics
• Effective description of non-equilibrium currents in cold magnetized plasma
• Leading order magnetic field dependence of conductivities in anomalous hydrodynamics
• Relaxation Times for Chiral Transport Phenomena and Spin Polarization in Strongly Coupled Plasma
• Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies
• Torsion and anomalies in the warped limit of Lifschitz theories
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Positive magnetoresistance induced by hydrodynamic fluctuations in chiral media
• Sum rules and three point functions
• Superfluid Kubo Formulas from Partition Function
• Anomaly Matching Across Dimensions and Supersymmetric Cardy Formulae
• The generation of matter-antimatter asymmetries and hypermagnetic fields by the chiral vortical effect of transient fluctuations
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Quantum measurements and chiral magnetic effect
• Simulating chiral magnetic effect and anomalous transport phenomena in the pre-equilibrium stages of heavy-ion collisions
• Nonequilibrium axial charge production in expanding glasma flux tubes
• Vacuum condition and the relation between response parameter and anomaly coefficient in (1+3) dimensions
• Constitutive relations and response parameters in two dimensional hydrodynamics with gauge and gravitational anomalies
• The effect of magnetization and electric polarization on the anomalous transport coefficients of a chiral fluid
• Sound waves in the compactified D0-D4 brane system
• A sensitivity study of the primary correlators used to characterize chiral-magnetically-driven charge separation
• Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality
• A New Paradigm for Topological or Rotational Non-Abelian Gauge Fields from Einstein-Skyrme Holography
• Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
• Gravitational chiral anomaly for spin 3/2 field interacting with spin 1/2 field
• Gravitational chiral anomaly and anomalous transport for fields with spin 3/2
• Anomalous conductivities in the holographic Stuckelberg model
• Dilepton production from chirally asymmetric matter
• Spatially modulated instabilities of holographic gauge-gravitational anomaly
• Angular Momentum Generation by Parity Violation
• Chiral magnetic effect of light
• The effects of non-helical component of hypermagnetic field on the evolution of the matter-antimatter asymmetry, vorticity, and hypermagnetic field
• Torsional response of relativistic fermions in $2+1$ dimensions
• Hall and spin Hall viscosity ratio in 2d topological insulators
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• Anomalous Gurzhi effect
• Note on anomalous currents for a free theory
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Macroscopic transports in a rotational system with an electromagnetic field
• An extended $R_{{\Psi }_m}^{(2)}(\Delta S_2)$ correlator for detecting and characterizing the Chiral Magnetic Wave
• Membrane paradigm and RG flows for anomalous holographic theories
• Chiral current induced by torsional Weyl anomaly
• Holographic Anomalous Chiral Current Near a Boundary
• First-order relativistic hydrodynamics with an information current
• Permanent mean spin source of the chiral magnetic effect in neutron stars
• Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics and the anomalous Hall current
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• Some Features of Semiclassical Chiral Transport in Rotating Frames
• Entropy currents from holography in hydrodynamics with charge
• Zilch Vortical Effect for Fermions
• Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence
• Does the chiral magnetic effect change the dynamic universality class in QCD?
• Hydrodynamic results on multiplicity fluctuations in heavy-ion collisions
• Phonon-mediated Hydrodynamic Transport in a Weyl Semimetal
• Spin Currents of Charged Dirac Particles in Rotating Coordinates
• Gauge/Gravity Duality and Some Applications
• Chiral Magnetic Effect in the Anisotropic Quark-Gluon Plasma
• Abelian and non-Abelian Berry curvatures in lattice QCD
• On the Chiral imbalance and Weibel Instabilities
• Chiral asteroseismology: seismic oscillations caused by chiral transport in neutron stars and supernovae
• Chiral heat wave and mixed waves in kinetic theory
• Physical Effects of the Gravitational $\Theta$-Parameter
• Fluid dynamics on ultrastatic spacetimes and dual black holes
• On minimal energy states of chiral MHD turbulence
• Fluid/Gravity Correspondence, Second Order Transport and Gravitational Anomaly
• On the gravity dual of strongly coupled charged plasma
• Static Magnetic Response of Non-Fermi Liquid Density
• Chiral magnetohydrodynamics for heavy-ion collisions
• Higher Derivative Corrections to Charged Fluids in 2n Dimensions
• Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Spin alignment of $K^{\ast }$ induced by strange-baryon density inhomogeneity
• Anomalous transport from geometry
• The anomalous transport of axial charge: topological vs non-topological fluctuations
• External Fields and the Dynamics of Fundamental Flavours in Holographic Duals of Large N Gauge Theories
• Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from "covariant gradient expansion"
• A note on symmetries in the path integral formulation of the Langevin dynamics
• Hydrodynamic fluctuations and topological susceptibility in chiral magnetohydrodynamics
• Axial Chiral Vortical Effect in a Sphere with finite size effect
• Gravitational anomalies and one dimensional behaviour of black holes
• One-loop effective actions and 2D hydrodynamics with anomalies
• Holographic Constraints on Generalised Rivlin-Ericksen Fluid
• Chiral anomalies in superfluid hydrodynamics
• Light-Cone Reduction vs. TsT transformations : A Fluid Dynamics Perspective
• Relativistic fluid dynamics in heavy ion collisions
• On chiral vortical effect in accelerated matter
• Effect of Coriolis Force on Diffusion of D Meson
• Chiral Magnetic-Vortical Wave
• Chiral effects and Joule heating in hot and dense matter
• Relativistic hydrodynamics with the parity anomaly
• Equal-time kinetic equations in a rotational field
• Chiral transport of neutrinos in supernovae
• Hamilton Principle for Chiral Anomalies in Hydrodynamics
• Topological charge fluctuations in the Glasma
• Euler-Heisenberg Lagrangian under an axial gauge field
• Chirality transfer & chiral turbulence in gauge theories
• Anomaly induced transport in non-anomalous currents
• First-order spin magnetohydrodynamics
• Conformal symmetry, chiral fermions and semiclassical approximation
• Chiral Separation Effect from Holographic QCD
• Holographic Hydrodynamics and Applications to RHIC and LHC
• The covariance of chiral fermions theory
• ${\eta }^{\prime }$ Production in Nucleus-Nucleus collisions as a probe of chiral dynamics
• Anomalous transport and massive gravity theories
• Chiral magnetic effect in the hadronic phase
• Berry Phase Physics in Free and Interacting Fermionic Systems
• Chiral Metric Hydrodynamics, Kelvin Circulation Theorem, and the Fractional Quantum Hall Effect
• Field Theory of the Eulerian Perfect Fluid
• Charge-dependent correlations from event-by-event anomalous hydrodynamics
• Magnetization energy current in the axial magnetic effect
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• The effect of electric and chiral magnetic conductivities on azimuthally fluctuating electromagnetic fields and observables in isobar collisions
• Preponderant Orbital Polarization in Relativistic Magnetovortical Matter
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
• Photon polarization tensor at finite temperature and density in a magnetic field
• Shear and bulk viscous coefficients of a hot and chirally imbalanced quark matter using NJL model
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model
• Microscopic Study of Vorticities in Relativistic Chiral Fermions
• Universality of Anomalous Transport for zero temperature Superfluids
• Negative magnetoresistivity in chiral fluids and holography
• Anomalous magnetoconductivity and relaxation times in holography
• Dissipative Charged Fluid in a Magnetic Field
• On the inefficiency of fermion level-crossing under the parity-violating spin-2 gravitational field
• Holographic Anomalous Current at a Finite Temperature
• Anomalous hydrodynamics with dyonic charge
• Chiral heat wave in cold Fermi liquid and modified zero sound
• Chiral transport in curved spacetime via holography
• Generating Seed magnetic field à la Chiral Biermann battery
• The Chiral Separation Effect in quenched finite-density QCD
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Rotation Effects on Mesonic Condensations in Isospin Matter
• Scale invariance with fundamental matters and anomaly: A holographic description
• Universality in the stress tensor for Holographic fluids at the finite cutoff surface via fluid/gravity correspondence
• World-line formulation of chiral kinetic theory in topological background gauge fields
• Anomalous transport independent of gauge fields
• Second order Galilean fluids & Stokes' law
• Fluid Acceleration in Heavy-Ion Collisions
• Efficiency of dynamos from an autonomous generation of chiral asymmetry
• Nonrelativistic Transport Theory from Vorticity Dependent Quantum Kinetic Equation
• Chiral kinetic theory and anomalous hydrodynamics in even spacetime dimensions
• Phenomenology of anomalous chiral transports in heavy-ion collisions
• From gluon topology to chiral anomaly: Emergent phenomena in quark-gluon plasma
• Quantification of the Chiral Magnetic Effect in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Anomalous transport in second order hydrodynamics
• Generation of strong magnetic fields in old neutron stars accounting for continuous chiral magnetic effect
• Broken Lifshitz invariance, spin waves and hydrodynamics
• Non-static Analysis of the Anomalous Chiral Conductivities
• Chiral-Imbalance Density Wave in Baryonic Matters
• Rotating Dense Quark Matter and Anomaly Inflow
• Dynamical gauge fields and anomalous transport at strong coupling
• Explicit calculation on two-loop correction to the chiral magnetic effect with NJL model
• An anomalous propulsion mechanism using magnetic fields
• Charge redistribution from novel magneto-vorticity coupling in anomalous hydrodynamics
• A lattice mean-field study of the phase diagram of interacting parity-breaking Weyl semimetals
• Chiral fluids: a few theoretical issues
• Conformal anomaly transport induced by dark photon
• Vorticity-induced effects from Wess-Zumino-Witten terms
• Chiral vortices in relativistic hydrodynamics
• Thermal scalar field stress tensor on a two dimensional black hole and its near horizon properties
• Applying Deep Learning Technique to Chiral Magnetic Wave Search
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light
• Persistent current-carrying state of charge quasuparticles in $np$-ribbon featuring single Dirac cone
• Chiral vortical conductivities and the moment of inertia of a rigidly rotating Fermi gas
• Electromagnetic spectral functions in hot and dense chirally imbalanced quark matter
• Dirac fermions under imaginary rotation
• Chiral Vortical Transport under Minimal-Length Deformations in Rotating Relativistic Matter
• Dissipative effects on the propagation of spin modes
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields
• Vortical currents and reciprocal relations for transport coefficients in the electron hydrodynamic regime
• Anomalous Strangeness Transport
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions
• Q-balls and the chiral vortical effect
• Helicity conservation in perfect electromagnetic and chiral fluids
• Electromagnetic anomaly in the presence of electric and chiral magnetic conductivities in relativistic heavy-ion collisions
• Sonic velocity in holographic fluids and its applications
• Reconnection of magnetic fields in neutron stars driven by the electron mass term in the triangle anomaly
• Holographic deconfined QGP phase diagram and entropy with an anomalous flow in a magnetic field background
• Constitutive relations of a chiral hadronic fluid
• Enhancement of Anomalous Boundary Current by High Temperature
• Dynamic Superfluid Theory of Scalar Field and Comparing Investigations with its Corresponding Theory of Quantum Mechanics