arXiv 2004.110922020-04hep-ph

磁化热QCD介质中重夸克的动量展宽

Momentum broadening of heavy quark in a magnetized thermal QCD medium

Balbeer Singh, Manu Kurian, Surasree Mazumder, Hiranmaya Mishra, Vinod Chandra, Santosh K. Das

备注：: 16 pages, 4 figures, substantial modifications

摘要：

在朗之万动力学框架下，计算了强磁化夸克胶子等离子体中重夸克各向异性动量扩散系数。根据重夸克的运动方向与磁场方向的关系，估计了磁化热介质中重夸克的五个动量扩散系数。具体地说，我们把注意力集中在满足条件的温度范围和磁场强度上，$\it{i.e.}$ $M\gg\sqrt{eB}\gg T$，$M$是重夸克的质量。轻夸克/反夸克遵循$1+1-$维最低朗道能级（LLL）运动学，重夸克动力学不受介质中磁场的直接影响。热胶子对扩散系数的贡献与$T^3$成正比，而处于最低朗道态的轻夸克对扩散系数的贡献与$T|eB|$成正比。此外，它被观察到的情况下，重夸克运动平行于磁场，横向的分量的扩散系数场和重夸克速度$(κ^{\parallel}_{TT})$原来是占主导地位相比，纵向的分量场和运动$(κ^{\parallel}_{LL})$，$i.e.$，$κ^{\parallel}_{TT}\gg κ^{\parallel}_{LL}$。此外，对于垂直于磁场运动的重夸克的情况，可以看出，横向于磁场的扩散系数占主导地位，即，$κ^{\perp}_{LT}, κ^{\perp}_{TT}\gg κ^{\perp}_{TL}$。

英文摘要：

Anisotropic momentum diffusion coefficients of heavy quarks have been computed in a strongly magnetized quark-gluon plasma beyond the static limit within the framework of Langevin dynamics. Depending on the orientation of the motion of the heavy quark with respect to the direction of the magnetic field, five momentum diffusion coefficients of heavy quark have been estimated in the magnetized thermal medium. Specifically, we have focussed our attention to temperature range and strength of magnetic field satisfying the condition, $\it{i.e.}$ $M\gg\sqrt{eB}\gg T$, $M$ being the mass of heavy quark. The light quarks/antiquarks follow $1+1-$dimensional lowest Landau level (LLL) kinematics, and heavy quark dynamics are not directly affected by the magnetic field in the medium. The thermal gluon contribution to the diffusion coefficient is proportions to $T^3$, whereas, the contribution of light quarks in the lowest Landau state to the same is seen to be proportional to $T|eB|$. Furthermore, it is observed that for the case of heavy quark motion parallel to the magnetic field, the component of diffusion coefficient transverse both to the field and the heavy quark velocity $(κ^{\parallel}_{TT})$ turns out to be dominant as compared to the component longitudinal to both the field and motion $(κ^{\parallel}_{LL})$, $i.e.$, $κ^{\parallel}_{TT}\gg κ^{\parallel}_{LL}$. Further, for the case of heavy quark moving perpendicular to the magnetic field, it is seen that the diffusion coefficients transverse to the magnetic field are dominant, i.e., $κ^{\perp}_{LT}, κ^{\perp}_{TT}\gg κ^{\perp}_{TL}$.

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英文摘要：

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