Abstract
I use the holographic gauge/gravity duality to systematically calculate the jet quenching parameters in strongly coupled anisotropic plasmas in the presence of external magnetic fields. The magnetic field breaks down spatial rotation symmetry from $SO(3)$ to $SO(2)$, leading to the presence of multiple anisotropic jet quenching parameters, which are evaluated here in two quite different holographic settings. One of them corresponds to a top-down deformation of the strongly coupled $\mathcal{N} = 4$ Super Yang-Mills plasma triggered by an external magnetic field, while the other one is a bottom-up Einstein-Maxwell-Dilaton model of phenomenological relevance for high energy peripheral heavy ion collisions, since it is able to provide a quantitative description of $(2+1)$-flavors lattice QCD thermodynamics with physical quark masses at zero and nonzero magnetic fields. I find for both models an overall enhancement of all the anisotropic jet quenching parameters with increasing magnetic fields. Moreover, I also conclude that for both models transverse momentum broadening is larger in transverse directions than in the direction of the magnetic field. Since these conclusions are shown to hold for two rather different holographic setups at finite temperature and magnetic fields, they are suggested as fairly robust features of strongly coupled anisotropic magnetized plasmas.
Highlights
The partons produced in high energy proton-proton and proton-nucleus collisions undergo multiple fragmentations, called parton showers, before hadronizing
In high energy heavy ion collisions [1,2,3,4,5], due to the formation of a deconfined medium dominated by color charges, called quark-gluon plasma (QGP) [6,7,8], the parton showers interact with the color charges of the medium changing the overall pattern observed for hadron jets relatively to the cases where no QGP is formed
There were obtained quantitative agreement of the EMD predictions for the finite temperature and baryon density equation of state and the higher order baryon susceptibilities with the corresponding state-of-the-art first principles lattice QCD results [65,66]. These results illustrate some of the actual capabilities of EMD holography in what regards applications to real-world physical systems, like the QGP produced in heavy ion collisions
Summary
The partons produced in high energy proton-proton (pp) and proton-nucleus (pA) collisions undergo multiple fragmentations, called parton showers, before hadronizing. There were obtained quantitative agreement of the EMD predictions for the finite temperature and baryon density equation of state and the higher order baryon susceptibilities with the corresponding state-of-the-art first principles lattice QCD results [65,66] These results illustrate some of the actual capabilities of EMD holography (with bulk actions adequately constrained by some phenomenological input data) in what regards applications to real-world physical systems, like the QGP produced in heavy ion collisions. I use in this work natural units with c 1⁄4 ħ 1⁄4 kB 1⁄4 1 and a mostly plus (Lorentzian) metric signature
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