Abstract
Intense transient electric ({\bf E}) and magnetic ({\bf B}) fields are produced in the high energy heavy-ion collisions. The electromagnetic fields produced in such high-energy heavy-ion collisions are proposed to give rise to a multitude of exciting phenomenon including the Chiral Magnetic Effect. We use a Monte Carlo (MC) Glauber model to calculate the electric and magnetic fields, more specifically their scalar product $\bf{E}\cdot\bf{B}$, as a function of space-time on an event-by-event basis for the Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV for different centrality classes. We also calculate the same for the isobars Ruthenium and Zirconium at $\sqrt{s_{NN}}=200$ GeV. In the QED sector $\bf{E}\cdot\bf{B}$ acts as a source of Chiral Separation Effect, Chiral Magnetic Wave, etc., which are associated phenomena to the Chiral Magnetic Effect. We also study the relationships between the electromagnetic symmetry plane angle defined by $\bf{E}\cdot\bf{B}$ ($\psi_{E.B}$) and the participant plane angle $\psi_{P}$ defined from the participating nucleons for the second-fifth order harmonics.
Highlights
The initial-state fluctuations in high-energy heavy-ion collisions play an essential role in understanding several bulk observables
We have studied the event-by-event fluctuations of the electric and the magnetic fields and their possible correlation with the geometry of the high-energy heavy-ion collisions
We studied the distribution of E · Bð1⁄4 EÞ in Au þ Au, Ru þ Ru, and Zr þ the Zr transverse collisions at pplanffisffiffieNffiffiNffiffifo1⁄4r
Summary
The initial-state fluctuations in high-energy heavy-ion collisions play an essential role in understanding several bulk observables. It has been conjectured that, in addition to the standard ohmic current driven by the electric field, there might appear other new types of current in parity (P) and charge conjugation (C) odd regions in Quark-Gluon Plasma as responses to the electromagnetic fields One of this new type of currents is generated along the background magnetic field, known as the chiral magnetic effect (CME). It results in a global electric charge separation with respect to the reaction plane [12,13]. This charge separation occurs through the transition of the righthanded quarks to the left-handed quarks and vice versa depending on the sign of topological charges [1].
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