热态QCD的色电介电常数和德拜屏蔽
On the chromoelectric permittivity and Debye screening in hot QCD
摘要：
本文研究了相互作用的夸克-胶子等离子体的响应函数（色电极化率）。从热QCD的两个状态方程中自洽地提取出准部分子的有效逸度，并将相互作用的影响编码在有效逸度中。第一个是完全微扰的$O(g^5)$状态方程，第二个是$O(g^6\ln(1/g))$，它包含了一些非微扰效应。我们发现，响应函数显示出很大的偏差，从理想的行为。通过固定输运方程中的有效耦合常数$Q^2$，我们进一步确定了德拜质量的温度依赖性。我们表明，我们的形式自然产生的德拜质量的领先阶HTL表达式，如果我们采用理想的状态方程。采用德拜质量，我们估计的各种charmonium和bottomonium束缚态的解离温度。这些结果与目前的理论研究是一致的。
英文摘要：
We study the response functions (chromo-electric susceptibilities) for an interacting quark-gluon plasma. The interaction effects have been encoded in the effective fugacities for quasi-partons which are extracted self-consistently from the two equations of state for hot QCD. The first one is the fully perturbative $O(g^5)$ EOS and, the second one which is $O(g^6\ln(1/g))$, incorporates some non-perturbative effects. We find that response function shows large deviations from the ideal behavior. We further determine the temperature dependence of the Debye mass by fixing the effective coupling constant $Q^2$ which appears in the transport equation. We show that our formalism naturally yields the leading order HTL expression for the Debye mass if we employ the ideal EOS. Employing the Debye mass, we estimate the dissociation temperatures for various charmonium and bottomonium bound states. These results are consistent with the current theoretical studies.
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