Non-equilibrium study of the Chiral Magnetic Effect from real-time simulations with dynamical fermions

Abstract

We present a real-time lattice approach to study the non-equilibrium dynamics of vector and axial charges in $SU(N)\times U(1)$ gauge theories. Based on a classical description of the non-Abelian and Abelian gauge fields, we include dynamical fermions and develop operator definitions for (improved) Wilson and overlap fermions that allow us to study real-time manifestations of the axial anomaly from first principles. We present a first application of this approach to anomalous transport phenomena such as the Chiral Magnetic Effect (CME) and Chiral Separation Effect (CSE) by studying the dynamics of fermions during and after a $SU(N)$ sphaleron transition in the presence of a $U(1)$ magnetic field. We investigate the fermion mass and magnetic field dependence of the suggested signatures of the CME and CSE and point out some important aspects which need to be accounted for in the macroscopic description of anomalous transport phenomena.

21 pages, 13 figures. RevTeX. V2: small clarifications and added references. To be published in Phys. Rev. D

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Cited by in corpus (15)

• Constructing phase space distributions with internal symmetries
• Heavy quark diffusion in an overoccupied gluon plasma
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Boost invariant formulation of the chiral kinetic theory
• Heavy Quark Momentum Broadening in a Non-Abelian Plasma away from Thermal Equilibrium
• Investigating Local Parity Violation in Heavy-Ion Collisions Using Lambda Helicity
• The Chiral Separation Effect from lattice QCD at the physical point
• Real-time dynamics of axial charge and chiral magnetic current in a non-Abelian expanding plasma
• Initial state qqg correlations as a background for the Chiral Magnetic Effect in collision of small systems
• Out-of-equilibrium Chiral Magnetic Effect from simulations on Euclidean lattices
• Chiral fermion in the Hamiltonian lattice gauge theory
• Event-by-event correlations between $\Lambda$ ($\bar{\Lambda }$) hyperon global polarization and handedness with charged hadron azimuthal separation in Au+Au collisions at $\sqrt{s_{\text{NN}}}=27\text{ GeV}$ from STAR
• Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory
• World-line formulation of chiral kinetic theory in topological background gauge fields