Dynamical magnetic fields in heavy-ion collisions

Abstract

The magnetic fields in heavy-ion collisions are important ingredients for many interesting phenomena, such as the Chiral Magnetic Effect, Chiral Magnetic Wave, the directed flow $v_1$ of $D^0$ mesons and the splitting of the spin polarization of the $\Lambda$/$\bar{\Lambda }$. Quantitative studies of these phenomena however suffer from limited understanding on the dynamical evolution of these fields in the medium created by the collisions, which remains a critical and challenging problem. The initial magnetic fields from the colliding nuclei decay very fast in the vacuum but their lifetime could be extended through medium response due to electrically conducting quarks and antiquarks. Here we perform a detailed analysis of such medium effect on the dynamical magnetic fields by numerically solving the Maxwell's equations concurrently with the expanding medium described by viscous hydrodynamics, under the assumption of negligible back reaction of the fields on the fluid evolution. Our results suggest a considerable enhancement of late time magnetic fields, the magnitude of which depends sensitively on the fireball expansion as well as the medium electric conductivity both before and during hydrodynamic stage.

15 pages, 7 figures

References in corpus (13)

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• Chiral Magnetic conductivity
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• Numerical magneto-hydrodynamics for relativistic nuclear collisions
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• Self-consistent quasiparticle model for quark-gluon plasma
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• Chiral electric separation effect in the quark-gluon plasma
• Electrical conductivity and Hall conductivity of hot and dense hadron gas in a magnetic field: a relaxation time approach
• $\Lambda /\bar{\Lambda }$ Polarization and Splitting Induced by Rotation and Magnetic Field
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• Continuous evolution of electromagnetic field in heavy-ion collisions

Cited by in corpus (6)

• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Baryon electric charge correlation as a magnetometer of QCD
• Experimental review on the chiral magnetic effect in relativistic heavy ion collisions
• External magnetic field induced paramagnetic squeezing effect in heavy-ion collisions at the LHC
• Dynamical Electromagnetic fields and Dynamical Electromagnetic Anomaly in heavy ion collisions at intermediate energies
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions