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arXiv 0909.0582hep-lat
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强耦合等离子体中的空间关联函数

Spatial correlators in strongly coupled plasmas

Nabil Iqbal, Harvey B. Meyer

备注：
32 pages, 9 figures, 4 tables; added some references, more detailed captions, conclusions unchanged
发表信息：
JHEP 0911:029,2009
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摘要：

本文数值计算了SU（3）Yang-Mills理论中标量和赝标算符$F^2$和$F\tilde F$在零温和有限温格子上的空间关联函数。我们比较的结果在距离$\frac{1}{2T}<r<\frac{3}{2T}$的自由场预测，算子产品的扩展，以及强耦合大- $N_c$ $\sN=4$超杨米尔斯理论，其中的结果是通过AdS/CFT方法。对于$T_c<T<1.15T_c$，这两个通道表现出更强的空间相关性比在真空中，我们给出了一个解释，使用求和规则和运营商产品的扩展。的AdS/CFT计算提供了一个半定量成功的描述真空减去$F^2$相关器，在3-loop $\overline{\rm MS}$计划重整化，在温度$1.2<T/T_c<1.9$的间隔，而自由场预测有错误的符号。$F\tilde F$和$F^2$关联函数在弱耦合和强耦合的SYM理论中具有相同的函数形式。低于$2T_c$的Yang-Mills血浆不符合预期。相反，我们发现至少在该温度下存在$F\tilde F$的强烈波动。我们讨论了我们的结果对我们的理解夸克胶子等离子体的影响。

英文摘要：

We numerically calculate the spatial correlators of the scalar and pseudoscalar operators $F^2$ and $F\tilde F$, in SU(3) Yang-Mills theory at zero and finite-temperature on the lattice. We compare the results over the distances $\frac{1}{2T}<r<\frac{3}{2T}$ to the free-field prediction, to the operator-product expansion as well as to the strongly coupled large-$N_c$ $\sN=4$ super-Yang-Mills theory, where results are obtained by AdS/CFT methods. For $T_c<T<1.15T_c$, both channels exhibit stronger spatial correlations than in the vacuum, and we give an explanation for this, using sum-rules and the operator-product expansion. The AdS/CFT calculation provides a semi-quantitatively successful description of the vacuum-subtracted $F^2$ correlator, renormalized in the 3-loop $\overline{\rm MS}$ scheme, in the interval of temperatures $1.2<T/T_c<1.9$, while the free-field prediction has the wrong sign. The $F\tilde F$ and $F^2$ correlators are predicted to have the same functional form both at weak coupling and in the strongly coupled SYM theory. The Yang-Mills plasma does not meet that expectation below $2T_c$. Instead we find that strong fluctuations of $F\tilde F$ are present at least up to that temperature. We discuss the impact of our results on our understanding of the quark-gluon plasma.

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