波动偏心率的连续描述
Continuous description of fluctuating eccentricities
摘要：
我们把高能核-核碰撞的横截面中的初始能量密度看作是一个随机场$ρ(\x)$，它的概率分布$P[ρ]$是本描述的唯一成分，它编码了所有可能的涨落源。我们认为，这是一个本地高斯，与短程2点函数，和相关的波动驱动各向异性流的偏心率的计算具有较小的相对振幅。事实上，这个2点函数，连同平均密度，包含了计算偏心率及其方差所需的所有信息，我们推导出这些量的一般模型独立表达式。在这些计算中的短波长波动不起作用，除了重整化的2点函数的短程部分。作为一个例子，我们比较常用的独立源模型，并恢复该模型的已知结果。
英文摘要：
We consider the initial energy density in the transverse plane of a high energy nucleus-nucleus collision as a random field $ρ(\x)$, whose probability distribution $P[ρ]$, the only ingredient of the present description, encodes all possible sources of fluctuations. We argue that it is a local Gaussian, with a short-range 2-point function, and that the fluctuations relevant for the calculation of the eccentricities that drive the anisotropic flow have small relative amplitudes. In fact, this 2-point function, together with the average density, contains all the information needed to calculate the eccentricities and their variances, and we derive general model independent expressions for these quantities. The short wavelength fluctuations are shown to play no role in these calculations, except for a renormalization of the short range part of the 2-point function. As an illustration, we compare to a commonly used model of independent sources, and recover the known results of this model.
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