Abstract
We study the electromagnetic response of the quark–gluon plasma in AA-collisions at RHIC and LHC energies for a realistic space–time evolution of the plasma fireball. We demonstrate that for a realistic electric conductivity the electromagnetic response of the plasma is in a quantum regime when the induced electric current does not generate a classical electromagnetic field, and can only lead to a rare emission of single photons.
Highlights
Prediction of the chiral magnetic effect [1] in AA-collisions stimulated studies of magnetic field generated in heavy-ion collisions
In the initial stage the magnitude of the magnetic field falls rapidly with time (|By| ∝ t−3, y-axis being perpendicular to the reaction plane). It was suggested [4, 5] that the presence of the hot quark-gluon plasma (QGP) may increase the lifetime of the strong magnetic field
The effect of the QGP on the evolution of the electromagnetic field in AA-collisions has been estimated under the approximation of a uniform static matter in [4, 5, 8, 12]
Summary
Collisions stimulated studies of magnetic field generated in heavy-ion collisions. In the noncentral AA-collisions the can magnetic field perpendicular reach the values eB ∼ 3m2π to for tRheH√IrCeac(√tiosn=pla2n00e. In the initial stage the magnitude of the magnetic field falls rapidly with time (|By| ∝ t−3, y-axis being perpendicular to the reaction plane) It was suggested [4, 5] that the presence of the hot quark-gluon plasma (QGP) may increase the lifetime of the strong magnetic field. In [12] it was obtained that for reasonable values of the conductivity the matter does not increase the lifetime of the strong (eB/m2π ∼ 1) magnetic field, and a significant effect was found only for the long-time evolution where eB/m2π ≪ 1. The probability of the photon emission from this mechanism is very small, and, due to a huge background from other mechanisms of the photon production, an experimental observation of the photons from this mechanism is practically impossible
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