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arXiv 1012.0019nucl-thhep-phnucl-ex
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夸克-胶子等离子体中粲和粲偶素的自洽计算

Selfconsistent Evaluation of Charm and Charmonium in the Quark-Gluon Plasma

Felix Riek, Ralf Rapp

摘要:

利用自洽方法计算了夸克-胶子等离子体(QGP)中的重夸克(HQ)和夸克偶素性质,定量研究了介质中的味传输和色屏蔽。主要工具是热力学$T$ -矩阵方法来计算HQ和夸克偶素光谱函数在散射和束缚态制度。的$T$ -矩阵,反过来,被用来计算HQ自能被实现到谱函数超出准粒子近似。粲偶素谱函数被用来计算欧拉-时间关联函数,并与热格点量子色动力学的结果进行了比较。在各种强子通道,包括零模式的贡献一致占有限的魅力夸克宽度的影响进行比较。零模式是密切相关的粲夸克数的磁化率,这也是比较现有的晶格“数据”。利用磁化率和重-轻夸克$T$矩阵计算了QGP中的热粲-夸克弛豫速率,即粲扩散常数。我们的研究结果在HQ部门的QGP的粘度熵密度比的影响进行了简要的讨论。

英文摘要:

A selfconsistent calculation of heavy-quark (HQ) and quarkonium properties in the Quark-Gluon Plasma (QGP) is conducted to quantify flavor transport and color screening in the medium. The main tool is a thermodynamic $T$-matrix approach to compute HQ and quarkonium spectral functions in both scattering and bound-state regimes. The $T$-matrix, in turn, is employed to calculate HQ selfenergies which are implemented into spectral functions beyond the quasiparticle approximation. Charmonium spectral functions are used to evaluate eulcidean-time correlation functions which are compared to results from thermal lattice QCD. The comparisons are performed in various hadronic channels including zero-mode contributions consistently accounting for finite charm-quark width effects. The zero modes are closely related to the charm-quark number susceptibility which is also compared to existing lattice "data". Both the susceptibility and the heavy-light quark $T$-matrix are applied to calculate the thermal charm-quark relaxation rate, or, equivalently, the charm diffusion constant in the QGP. Implications of our findings in the HQ sector for the viscosity-to-entropy-density ratio of the QGP are briefly discussed.

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