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arXiv 1711.04476hep-lat
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$SU(3)$格点胶子动力学中transition temperature附近的双子

Dyons near the transition temperature in $SU(3)$ lattice gluodynamics

V. G. Bornyakov, E. -M. Ilgenfritz, B. V. Martemyanov

备注：
7 pages, 6 figures
发表信息：
J.Phys. G45 (2018) no.5, 055006
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摘要：

利用聚类分析方法研究了$SU(3)$格点胶子动力学的拓扑结构。本方法学研究是为全面的量子色动力学做准备。拓扑电荷密度在超改进梯度流过程中变得明显，这是通过逆参与比（IPR）来监测的。由于基本作用的性质过度改进，当calorons解离成dyons时，流动停止了。这就有可能同时检测所有三个双子组分的KvBLL胶子领域。在（过度改进的）梯度流下的平均Polyakov回路的行为也可以（作为其值）诊断该配置所属的实际相位。类时阿贝尔电流和局部Polyakov环的特定模式与拓扑团簇相关，重构团簇电荷$Q_{cl}$的谱对应于相位.在受限相中，它分散在$Q_{cl} \approx \pm 1/3$周围，而在非受限相中，它对重双离子是$Q_{cl} \approx \pm 0.5 ÷0.7$，对轻双离子是$|Q_{cl}| < 0.3$。随着温度的升高，重双子越来越受到抑制。这篇论文是为了纪念我们研究小组的成员Michael Mueller-Preussker二十多年。

英文摘要：

We study the topological structure of $SU(3)$ lattice gluodynamics by cluster analysis. This methodological study is meant as preparation for full QCD. The topological charge density is becoming visible in the process of overimproved gradient flow, which is monitored by means of the the Inverse Participation Ratio (IPR). The flow is stopped at the moment when calorons dissociate into dyons due to the overimproved character of the underlying action. This gives the possibility to simultaneously detect all three dyonic constituents of KvBLL calorons in the gluonic field. The behaviour of the average Polyakov loop under (overimproved) gradient flow could be also (as its value) a diagnostics for the actual phase the configuration is belonging to. Timelike Abelian monopole currents and specific patterns of the local Polyakov loop are correlated with the topological clusters.The spectrum of reconstructed cluster charges $Q_{cl}$ corresponds to the phases. It is scattered around $Q_{cl} \approx \pm 1/3$ in the confined phase, whereas it is $Q_{cl} \approx \pm 0.5 ÷0.7$ for heavy dyons and $|Q_{cl}| < 0.3$ for light dyons in the deconfined phase. Heavy dyons are increasingly suppressed with increasing temperature. The paper is dedicated to the memory of Michael Mueller-Preussker who was a member of our research group for more than twenty years.

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