arXiv 0707.36972007-07nucl-thhep-ph

夸克-胶子等离子体的色电响应函数

Chromoelectric response functions for quark-gluon plasma

Akhilesh Ranjan, V. Ravishankar

备注：: 11 pages, The paper rewritten in collisionless limit; equations are simplified and made more compact; minor change in the title; and references added

摘要：

在经典输运方程的框架下，系统地研究了夸克-胶子等离子体（QGP）的色电响应。输运方程建立在相空间中，相空间除了包括位置-动量变量之外，还包括与颜色对应的SU（3）群空间（其是动力学自由度）。分布函数是通过将夸克和胶子的密度算符投影到它们各自的相干态（定义在扩展相空间上）来定义的。充分进口的杨米尔斯（YM）动力学表现出通过出现一个内在的非线性，非局部响应，其行为，我们确定在长波长限制。它也表现为张量响应，这是胶子的一个特征。的响应函数示出有一个自然的解释方面的阿贝尔和非阿贝尔耦合常数的重正化。详细分析了重夸克势的屏蔽和德拜质量屏蔽在康奈尔势情况下所起的确切作用。我们还讨论了非阿贝尔效应对QGP中朗道阻尼的贡献。

英文摘要：

We determine the chromoelectric response of quark-gluon plasma (QGP) systematically within the framework of classical transport equations. The transport equations are set up in the phase space which includes the SU(3) group space corresponding to color (which is a dynamical degree of freedom), in addition to the position - momentum variables. The distribution functions are defined by projecting the density operators for the quarks and the gluons to their respective coherent states (defined over the extended phase space). The full import of the Yang-Mills(YM) dynamics is shown to manifest through the emergence of an intrinsic nonlinear, nonlocal response, whose behavior we determine in the long wavelength limit. It also manifests as a tensor response which is a characteristic of gluons. The response functions are shown to have a natural interpretation in terms of the renormalizations of the Abelian and the non-Abelian coupling constants. A detailed analysis of the screening of heavy quark potential and of the exact role played by the Debye mass screening in the case of the Cornell potential, is performed. We also discuss the non-Abelian contribution to Landau damping in QGP.

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英文摘要：

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