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arXiv 1310.4657hep-phnucl-th
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各向异性夸克-胶子等离子体中的尾流

Wake in anisotropic Quark-Gluon Plasma

Mahatsab Mandal, Pradip Roy

备注：
11 pages, 4 figures
发表信息：
Phys. Rev. D 86, 114002 (2012)
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摘要：

计算了各向异性夸克-胶子等离子体中快部分子通过时的尾流电荷密度和尾流势。为了简单起见，考虑了小的$ξ$（各向异性参数）极限。当射流速度（$v$）平行于各向异性方向（${\hat n}$）并保持在相速度（$v_p$）以下时，AQGP中诱导电荷密度的尾流表现出与各向同性情况相反的轻微振荡行为。当射流速度大于相速度时，振荡行为随着$ξ$的增加而增加。同样对于$v>v_p$，在各向异性存在下观察到锥形结构的明显改变。对于平行方向的后向区域，对于$v<v_p$，尾流势的深度随着$ξ$的增加而减小，并且对于较高的$ξ$值，尾流势变得类似于修正库仑。在正向区域，对于非零$ξ$，对于$v>v_p$和$v<v_p$，电势保持修改的库仑样，幅度变化。在垂直方向上，尾流势在前区和后区是对称的。随着$ξ$的增加，负极小值的深度远离原点，而与射流速度无关。另一方面，当射流速度垂直于各向异性方向时，我们发现在尾流电荷密度和电势的情况下，与各向同性的情况相比，有显着的变化。

英文摘要：

We calculate the wake in charge density and the wake potential due to the passage of a fast parton in an anisotropic quark gluon plasma(AQGP). For the sake of simplicity small $ξ$(anisotropic parameter) limit has been considered. When the velocity($v$) of the jet is parallel to the anisotropy direction(${\hat n}$) and remains below the phase velocity($v_p$), the wake in induced charge density shows a little oscillatory behavior in AQGP, contrary to the isotropic case. With the jet velocity greater than the phase velocity, the oscillatory behavior increases with $ξ$. Also for $v>v_p$ one observes a clear modification of the cone-like structure in presence of anisotropy. For the parallel direction in the backward region, the depth of the wake potential decreases with the increase of $ξ$ for $v<v_p$ and the potential becomes modified Coulomb-like for higher values of $ξ$. In the forward region, the potential remains modified Coulomb-like with the change in magnitude for nonzero $ξ$, for both $v>v_p$ and $v<v_p$. In the perpendicular direction, the wake potential is symmetric in the forward and backward regions. With the increase of $ξ$, the depth of negative minimum is moving away from the origin irrespective of the jet velocity. On the other hand when the jet velocity is perpendicular to the anisotropy direction, we find significant changes in the case of both wake charge density and potential in comparison to the isotropic case.

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