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arXiv 1609.04877hep-phnucl-th
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$T$ -强耦合QGP的矩阵方法

$T$-Matrix Approach to Strongly Coupled QGP

Shuai Y. F. Liu, Ralf Rapp

摘要:

基于热力学$T$ -矩阵方法,我们从晶格-QCD自由能的拟合中提取了夸克-胶子等离子体中两个静电荷之间的势$V$。在适当的相对论修正下,我们利用这个新势计算了重夸克输运系数,并将计算结果与以前用$F$或$U$作为势的计算结果进行了比较.然后,我们讨论了广义的$T$矩阵再求和的“矩阵$\log$“再求和的$t$通道图的大配分函数的QGP在Luttinger-Ward骨架图形式主义。我们用$V$作为轻部分子扇区的非微扰驱动核,通过对格点QCD数据的拟合,得到了QGP状态方程。由此产生的轻部分子光谱函数的特点是在小动量大的热宽度,表明在强耦合QGP的准粒子的溶解。

英文摘要:

Based on a thermodynamic $T$-matrix approach we extract the potential $V$ between two static charges in the quark-gluon plasma (QGP) from fits to the pertinent lattice-QCD free energy. With suitable relativistic corrections we utilize this new potential to compute heavy-quark transport coefficients and compare the results to previous calculations using either $F$ or $U$ as potential. We then discuss a generalization of the $T$-matrix re-summation to a "matrix $\log$" re-summation of $t$-channel diagrams for the grand partition function of the QGP in the Luttinger-Ward skeleton diagram formalism. With $V$ as a non-perturbative driving kernel in the light-parton sector, we obtain the QGP equation of state from fits to lattice-QCD data. The resulting light-parton spectral functions are characterized by large thermal widths at small momenta, indicating the dissolution of quasi-particles in a strongly coupled QGP.

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