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arXiv 1304.4154hep-phhep-latnucl-th
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用于提取非微扰$Q\bar{Q}$势的硬热环基准

A hard thermal loop benchmark for the extraction of the nonperturbative $Q\bar{Q}$ potential

Yannis Burnier, Alexander Rothkopf

摘要:

从格点量子色动力学中提取有限温度重夸克势依赖于对威尔逊圈的谱分析。一般的论点告诉我们,最低的频谱峰值通过其位置和形状编码了该复势的实部和虚部。在这里,我们基准此提取策略使用领先的硬热回路(HTL)计算。即,我们解析地计算威尔逊圈并确定相应的谱。通过拟合其最低峰,我们获得了实部和虚部,并确认仅最低峰的知识就足以获得电势。访问全频谱允许调查的频谱功能,不有助于潜在的,但可以构成一个挑战,从虚时间数据的分析延续的数值尝试。讨论了威尔逊圈和规范固定的威尔逊线振荡器之间在这些贡献上的差异。为了更好地理解在数值提取的困难,我们部署了最大熵方法与扩展的搜索空间HTL的迭代器在欧几里得时间和观察如何以及已知的频谱函数和值的实部和虚部的再现。改进的提取策略的可能场所进行了讨论。

英文摘要:

The extraction of the finite temperature heavy quark potential from lattice QCD relies on a spectral analysis of the Wilson loop. General arguments tell us that the lowest lying spectral peak encodes, through its position and shape, the real and imaginary part of this complex potential. Here we benchmark this extraction strategy using leading order hard-thermal loop (HTL) calculations. I.e. we analytically calculate the Wilson loop and determine the corresponding spectrum. By fitting its lowest lying peak we obtain the real- and imaginary part and confirm that the knowledge of the lowest peak alone is sufficient for obtaining the potential. Access to the full spectrum allows an investigation of spectral features that do not contribute to the potential but can pose a challenge to numerical attempts of an analytic continuation from imaginary time data. Differences in these contributions between the Wilson loop and gauge fixed Wilson line correlators are discussed. To better understand the difficulties in a numerical extraction we deploy the Maximum Entropy method with extended search space to HTL correlators in Euclidean time and observe how well the known spectral function and values for the real and imaginary part are reproduced. Possible venues for improvement of the extraction strategy are discussed.

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