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09 February 2025
 
  » arxiv » 1605.0188

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Jet quenching parameter of quark-gluon plasma in strong magnetic field: perturbative QCD and AdS/CFT correspondence
Shiyong Li ; Kiminad A. Mamo ; Ho-Ung Yee ;
Date 1 May 2016
AbstractWe compute the jet quenching parameter $hat q$ of QCD plasma in the presence of strong magnetic field in both weakly and strongly coupled regimes. In weakly coupled regime, we compute $hat q$ in perturbative QCD at complete leading order (that is, leading log as well as the constant under the log) in QCD coupling constant $alpha_s$, assuming the hierarchy of scales $alpha_s eBll T^2ll eB$. We consider two cases of jet orientations with respect to the magnetic field: 1) the case of jet moving parallel to the magnetic field, 2) the case jet moving perpendicular to the magnetic field. In the former case, we find $hat qsim alpha_s^2 (eB)Tlog(1/alpha_s)$, while in the latter we have $hat qsim alpha_s^2 (eB)Tlog(T^2/alpha_seB)$. In both cases, this leading order result arises from the scatterings with thermally populated lowest Landau level quarks. In strongly coupled regime described by AdS/CFT correspondence, we find $hat qsim sqrt{lambda}(eB)T$ or $hat qsimsqrt{lambda}sqrt{eB}T^2$ in the same hierarchy of $T^2ll eB$ depending on whether the jet is moving parallel or perpendicular to the magnetic field, respectively, which indicates a universal dependence of $hat q$ on $(eB)T$ in both regimes for the parallel case, the origin of which should be the transverse density of lowest Landau level states proportional to $eB$. Finally, the asymmetric transverse momentum diffusion in the case of jet moving perpendicular to the magnetic field may give an interesting azimuthal asymmetry of the gluon Bremsstrahlung spectrum in the BDMPS-Z formalism.
Source arXiv, 1605.0188
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