从格点估计重夸克热化率的一种方法
A way to estimate the heavy quark thermalization rate from the lattice
摘要：
重夸克的热化率与它的动量扩散系数有关。从Kubo关系出发，利用重夸克有效理论的框架，我们论证了在大质量极限下，动量扩散系数可以通过一定的欧几里德关联函数来定义，其中涉及到沿Polyakov圈的色电场.此外，进行微扰计算，我们表明，对应于这个相关器的谱函数是相对平坦的小频率。因此，与其他几个输运系数的情况不同，对于这些输运系数，输运峰的狭窄性使得从欧几里得晶格数据的解析延拓容易受到严重的系统不确定性的影响，重夸克热化率的确定似乎可以相对较好地控制。
英文摘要：
The thermalization rate of a heavy quark is related to its momentum diffusion coefficient. Starting from a Kubo relation and using the framework of the heavy quark effective theory, we argue that in the large-mass limit the momentum diffusion coefficient can be defined through a certain Euclidean correlation function, involving color-electric fields along a Polyakov loop. Furthermore, carrying out a perturbative computation, we demonstrate that the spectral function corresponding to this correlator is relatively flat at small frequencies. Therefore, unlike in the case of several other transport coefficients, for which the narrowness of the transport peak makes analytic continuation from Euclidean lattice data susceptible to severe systematic uncertainties, it appears that the determination of the heavy quark thermalization rate could be relatively well under control.
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