Chiral magnetic effect and anomalous transport from real-time lattice simulations

Abstract

We present a first-principle study of anomaly induced transport phenomena by performing real-time lattice simulations with dynamical fermions coupled simultaneously to non-Abelian $SU(N_c)$ and Abelian $U(1)$ gauge fields. Investigating the behavior of vector and axial currents during a sphaleron transition in the presence of an external magnetic field, we demonstrate how the interplay of the Chiral magnetic (CME) and Chiral separation effect (CSE) lead to the formation of a propagating wave. We further analyze the dependence of the magnitude of the induced vector current and the propagation of the wave on the amount of explicit chiral symmetry breaking due to finite quark mass.

5 pages, 3 figures, references updated, journal version

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• The First fm/c of Heavy-Ion Collisions
• Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
• Chiral Magnetic Effect Task Force Report
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Quantifying Chiral Magnetic Effect from Anomalous-Viscous Fluid Dynamics
• Quantum simulation of lattice gauge theories using Wilson fermions
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• World-line construction of a covariant chiral kinetic theory
• Foundations and Applications of Quantum Kinetic Theory
• Non-equilibrium study of the Chiral Magnetic Effect from real-time simulations with dynamical fermions
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Linearly polarized gluons and axial charge fluctuations in the Glasma
• Out-of-Equilibrium Chiral Magnetic Effect from Chiral Kinetic Theory
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates
• Constructing phase space distributions with internal symmetries
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• Chiral instabilities & the onset of chiral turbulence in QED plasmas
• Chiral Symmetry Breaking on the Lattice
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Effective kinetic description of the expanding overoccupied Glasma
• Simulations of relativistic-quantum plasmas using real-time lattice scalar QED
• Time evolution of linearized gauge field fluctuations on a real-time lattice
• Collisional strong-field QED kinetic equations from first principles
• Schwinger pair production and string breaking in non-Abelian gauge theory from real-time lattice improved Hamiltonians
• Disentangling flow and signals of Chiral Magnetic Effect in U+U, Au+Au and p+Au collisions
• Real-time lattice gauge theory actions: unitarity, convergence, and path integral contour deformations
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• Plasmon mass scale in classical nonequilibrium gauge theory
• Real-time dynamics of axial charge and chiral magnetic current in a non-Abelian expanding plasma
• Plasmon mass scale in two dimensional classical nonequilibrium gauge theory
• On the absence of the Chiral Magnetic Effect in equilibrium QCD
• Out-of-equilibrium Chiral Magnetic Effect from simulations on Euclidean lattices
• Nonequilibrium axial charge production in expanding glasma flux tubes
• Simulating chiral magnetic effect and anomalous transport phenomena in the pre-equilibrium stages of heavy-ion collisions
• Non-cancellation of the parity anomaly in the strong-field regime of QED${}_{2+1}$
• Quark Mass Correction to Chiral Separation Effect and Pseudoscalar Condensate
• Chiral Magnetic Effect in the Dirac-Heisenberg-Wigner formalism
• Gauge invariant canonical symplectic algorithms for real-time lattice strong-field quantum electrodynamics
• Chiral magnetohydrodynamics for heavy-ion collisions
• Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field
• Nonequilibrium quark production in the expanding QCD plasma
• In-medium polarization tensor in strong magnetic fields (II): Axial Ward identity at finite temperature and density
• First experience with classical-statistical real-time simulations of anomalous transport with overlap fermions
• Chiral magnetic effect in the hadronic phase