arXiv 1202.23132012-02-10hep-ph

非微扰胶子等离子体的剪切粘性

Shear viscosity of a nonperturbative gluon plasma

Dmitri Antonov

备注：: 13 pages, 3 figures

摘要：

剪切粘度的胶子等离子体，这是完全基于随机非微扰场的模型内进行评估。我们考虑了两种类型的激发态，它们的热关联长度分别为~ 1/（g^2 T）和~ 1/（g^4 T），其中g是有限温度的杨-米尔斯耦合.第一种类型的激发对应于真正的非微扰随机杨-米尔斯场，而第二种类型的激发模仿已知的结果的剪切粘度的微扰杨-米尔斯等离子体。我们表明，第一种类型的激发只产生一个O（g^{10}）-校正这个结果。此外，这两种激发之间可能存在的干扰会对主要的微扰杨-米尔斯结果产生更大的修正，即O（g^7）。我们的分析基于傅里叶变换的欧几里得久保公式，该公式代表剪切谱密度的积分方程。该方程通过寻找洛伦兹Ansätze形式的谱密度来求解，其宽度由两个热相关长度及其平均值定义，其对应于两种类型的激发之间的所述干涉。因此，在一个和相同的形式主义，我们重现已知的结果的剪切粘度的微扰杨米尔斯等离子体，并考虑可能的非微扰修正。

英文摘要：

Shear viscosity is evaluated within a model of the gluon plasma, which is based entirely on the stochastic nonperturbative fields. We consider two types of excitations of such fields, which are characterized by the thermal correlation lengths ~ 1/(g^2 T) and ~ 1/(g^4 T), where "g" is the finite-temperature Yang-Mills coupling. Excitations of the first type correspond to the genuine nonperturbative stochastic Yang-Mills fields, while excitations of the second type mimic the known result for the shear viscosity of the perturbative Yang-Mills plasma. We show that the excitations of the first type produce only an O(g^{10})-correction to this result. Furthermore, a possible interference between excitations of these two types yields a somewhat larger, O(g^7), correction to the leading perturbative Yang-Mills result. Our analysis is based on the Fourier transformed Euclidean Kubo formula, which represents an integral equation for the shear spectral density. This equation is solved by seeking the spectral density in the form of the Lorentzian Ansätze, whose widths are defined by the two thermal correlation lengths and by their mean value, which corresponds to the said interference between the two types of excitations. Thus, within one and the same formalism, we reproduce the known result for the shear viscosity of the perturbative Yang-Mills plasma, and account for possible nonperturbative corrections to it.

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