The impact of domain walls on the chiral magnetic effect in hot QCD matter

Abstract

The Chiral Magnetic Effect (CME) -- the separation of positive and negative electric charges along the direction of the external magnetic field in quark-gluon plasma and other topologically non-trivial media -- is a consequence of the coupling of electrodynamics to the topological gluon field fluctuations that form metastable $CP$-odd domains. In phenomenological models it is usually assumed that the domains are uniform and the influence of the domain walls on the electric current flow is not essential. This paper challenges the latter assumption. A simple model consisting of a uniform spherical domain in a uniform time-dependent magnetic field is introduced and analytically solved. It is shown that (i) no electric current flows into or out of the domain, (ii) the charge separation current, viz. the total electric current flowing inside the domain in the external field direction, is a dissipative Ohm current, (iii) the CME effect can be produced either by the anomalous current or by the boundary conditions on the domain wall and (iv) the charge separation current oscillates in plasma long after the external field decays. These properties are qualitatively different from the CME in an infinite medium.

16 pages, 6 figures

References in corpus (14)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Quantum Anomalies in Dense Matter
• Chiral Magnetic conductivity
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Synchrotron radiation by fast fermions in heavy-ion collisions
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• Electromagnetic response of quark-gluon plasma in heavy-ion collisions
• Magnetic field in expanding quark-gluon plasma
• Approach to Chandrasekhar-Kendall-Woltjer State in a Chiral Plasma
• Long range order in gauge theories. Deformed QCD as a toy model
• Spontaneous topological transitions of electromagnetic fields in spatially inhomogeneous CP-odd domains
• Free magnetized knots of parity-violating deconfined matter in heavy-ion collisions

Cited by in corpus (6)

• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Chiral Vortical Effect For An Arbitrary Spin
• Chiral magnetic effect in a cylindrical domain
• Chiral Cherenkov radiation in the presence of a time-dependent chiral chemical potential
• Optical manifestations of domains with constant topological charge density
• Probing topological order of QCD at Electron Ion Collider