Maxwell-Chern-Simons Hydrodynamics for the Chiral Magnetic Effect

Abstract

The rate of vacuum changing topological solutions of the gluon field, sphalerons, is estimated to be large at the typical temperatures of heavy-ion collisions, particularly at the Relativistic Heavy Ion Collider. Such windings in the gluon field are expected to produce parity-odd bubbles, which cause separation of positively and negatively charged quarks along the axis of the external magnetic field. This chiral magnetic effect can be mimicked by Chern-Simons modified electromagnetism. Here we present a model of relativistic hydrodynamics including the effects of axial anomalies via the Chern-Simons term.

4 pages. Eqns (16), (26) and (28) are corrected. Version includes the erratum Phys. Rev. C 84, 019903(E) (2011)

References in corpus (16)

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Cited by in corpus (16)

• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
• Magnetohydrodynamics of Chiral Relativistic Fluids
• Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory
• Covariant chiral kinetic equation in Wigner function approach
• Electro and magneto statics of topological insulators as modeled by planar, spherical and cylindrical $\theta$ boundaries: Green function approach
• The chiral vortical effect in Wigner function approach
• Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions
• Wigner functions of massive fermions in strong magnetic fields
• Chiral superfluidity of the quark-gluon plasma
• Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography
• Anomalous magnetohydrodynamics in the extreme relativistic domain
• The spectrum of anomalous magnetohydrodynamics
• Anomalous Hall instability in the Chern-Simons magnetohydrodynamics
• Hypermagnetic knots and gravitational radiation at intermediate frequencies