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Article overview
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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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