Electromagnetic anomaly in the presence of electric and chiral magnetic conductivities in relativistic heavy-ion collisions

Abstract

We study the spacetime evolution of electric (E) and magnetic (B) fields along with the electromagnetic anomaly (E • B) in the presence of electric (σ) and chiral magnetic (σχ) conductivities in Au+Au collisions at √ sNN = 200 GeV. By comparing to the Lienard-Wiechert solutions with zero conductivities, we observe a symmetry breaking of the electromagnetic field in a conducting medium with respect to the reaction plane. The decay of the field is also significantly decelerated after the conductivities are introduced. Similar effects are also found for the dipole structure of E • B as well as the quadrupole structure of (E • B)B, which may finally affect the charge separation of the elliptic flow coefficient of hadrons observed in high-energy nuclear collisions.

Electromagnetic anomaly in the presence of electric and chiral magnetic conductivities in relativistic heavy-ion collisions

“…In our simulation for the case of finite conductivities, we take the values of conductivities as σ = 5.8 MeV and σ χ = 1.5 MeV same as Refs. [44,46]. Here we notify that σ = 5.8 MeV is consistent to the lattice QCD calculations at top temperature of QGP produced at RHIC and it is expected that the expansion of QGP causes the decrease in σ together with temperature of medium.…”

“…More details about broken symmetry of spatial distribution of the electric and magnetic fields are given in Refs. [44,46]. We have also checked the spatial distribution for Zr+Zr collisions at b = 7 fm at √ s N N = 200 GeV and found that the trends for both cases are similar to those in Ru+Ru collisions.…”

“…We have used the Monte-Carlo (MC) Glauber model developed by the PHOBOS collaboration [47] to calculate the spatial distribution of the source nucleons. MC Glauber model are useful for estimating EM fields in heavy ion collisions, and also with the help of Glauber model computations we can connect experimental data to collision centrality and other geometric quantities such as eccentricity, initial state anisotropy etc [46,[48][49][50]. To determine the spatial information of the source charges, a two-step calculation is performed in this model.…”

“…Supposing that two isobar systems have same background then ∆γ is expecting main contributions from the squared magnetic field and the correlation between the azimuthal angle of the magnetic field Ψ B and participant plane Ψ 2 . So the first key ingredient is the fact that magnetic field whose spatial and time evolution in different mediums can behave differently [41][42][43][44][45][46], so consequently can have effect on related observables. So in this paper, we will study the electric and magnetic fields produced in isobar collisions in the presence of electric and chiral magnetic conductivities and measure their effect on the azimuthal fluctuations of electromagnetic fields and related observable quantities.…”

Probing the initial longitudinal density profile and electromagnetic field in ultrarelativistic heavy-ion collisions with heavy quarks

“…While a qualitative agreement can be achieved between our model calculation with setup-2 of electromagnetic field and the experimental data, a more precise quantitative agreement would requires a much more dedicate calculation of the electromagnetic field. Recent studies [48,92] have shown that including electric and chiral magnetic conductivities can affect both the decay speed and the spatial symmetry of the electromagnetic field, which may also influence the azimuthal distribution of heavy quarks and their decay products. These will be incorporated in our model calculation in an upcoming effort.…”