arXiv 0801.12862008-01hep-phnucl-th

夸克-胶子等离子体的热态QCD方程和响应函数

Hot QCD equations of state and response functions for quark-gluon plasma

Vinod Chandra, Akhilesh Ranjan, V. Ravishankar

备注：: 11 pages, 10 figures, revtex4; 2 tables; several references added, Introduction revised; section.V revised; Fig.3 replaced

摘要：

我们研究了在存在相互作用的情况下，夸克-胶子等离子体的响应函数（色电磁化率）与温度的函数关系。我们考虑热QCD的两个状态方程。第一个是完全微扰的$O(g^5)$状态方程和，第二个是$O[g^6\ln(1/g)+δ]$，它包含了一些非微扰效应。在最近的工作（Physical Review { \bf C 76}，054909（2007））之后，我们将包含在状态方程中的相互作用效应用有效化学势（$\tildeμ$）封装在部分子的平衡分布函数中，并将其应用于另一个最近的响应函数公式（{ \tt arXiv：0707.3697}）中，我们明确地确定了QCD等离子体的色电双折射率.我们发现，它显示出很大的偏差，从理想的行为。我们进一步研究了介质效应对重夸克势的影响。特别是，我们确定的屏蔽长度的温度依赖性固定的有效耦合常数$Q$出现在输运方程通过比较屏蔽在本形式主义与精确的晶格QCD结果。最后，我们研究了重夸克偶素态$c\bar{c}$和$b\bar{b}$的离解现象，并确定了离解温度。我们的结果与最近的晶格结果吻合得很好。

英文摘要：

We study the response functions (chromo-electric susceptibilities) of quark-gluon plasma as a function of temperature in the presence of interactions. We consider two equations of state for hot QCD. The first one is fully perturbative, of $O(g^5)$ EOS and, and the second one which is $O[g^6\ln(1/g)+δ]$, incorporates some non-perturbative effects. Following a recent work (Physical Review {\bf C 76}, 054909(2007)), the interaction effects contained in the EOS are encapsulated in terms of effective chemical potentials($\tildeμ$) in the equilibrium distribution functions for the partons.By using them in another recent formulation of the response functions({\tt arXiv:0707.3697}), we determine explicitly the chromo-electric susceptibilities for QCD plasma. We find that it shows large deviations from the ideal behavior. We further study the modification in the heavy quark potential due to the medium effects. In particular, we determine the temperature dependence of the screening lengths by fixing the effective coupling constant $Q$ which appears in the transport equation by comparing the screening in the present formalism with exact lattice QCD results. Finally, we study the dissociation phenomena of heavy quarkonium states such as $c\bar{c}$ and $b\bar{b}$, and determine the dissociation temperatures. Our results are in good agreement with recent lattice results.

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摘要：

英文摘要：

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