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arXiv 2001.04203hep-lathep-phhep-thnucl-th
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关于非交互模型之外的QCD串

On QCD strings beyond non-interacting model

A. S. Bakry, M. A. Deliyergiyev, A. A. Galal, M. Khalil William

摘要:

研究了Nambu-Goto(NG)、Lüscher-Weisz(LW)和Polyakov-Kleinert(PK)弦作用量对有限温度下一圈和二圈QCD通量管Casimir能量的影响.本文对有限温度下四维纯SU(3)Yang-Mills格点规范理论进行了数值研究$β=6.0$ .用链路积分的Polyakov圈算符计算了静态夸克-反夸克势。在高温下-接近临界点-我们发现QCD弦的刚性和自相互作用效应变得可检测。这个模型的显著特点是,它恢复了一个正确的依赖关系的重整化弦张力的温度。当包括附加的(LW)作用的双边界项时,获得了与源分离$R \ge 0.5$ fm处的静态电势数据的良好拟合。另一方面,在QCD平台附近的较低温度下,我们检测到Lüscher-Weisz(LW)弦作用量的两个边界项的特征。具有边界作用的(LW)弦产生与晶格数据良好一致的静态势,然而,对于短至$R=0.3$ fm的色源分离。

英文摘要:

We investigate the implications of Nambu-Goto (NG), Lüscher-Weisz (LW) and Polyakov-Kleinert (PK) string actions for the Casimir energy of the QCD flux-tube at one and two loop order at finite temperature. We perform our numerical study on the 4-dim pure SU(3) Yang-Mills lattice gauge theory at finite temperature $β=6.0$. The static quark-antiquark potential is calculated using link-integrated Polyakov loop correlators. At a high temperature-close to the critical point- We find that the rigidity and self-interactions effects of the QCD string to become detectable. The remarkable feature of this model is that it retrieves a correct dependency of the renormalized string tension on the temperature. Good fit to static potential data at source separations $R \ge 0.5$ fm is obtained when including additional two-boundary terms of (LW) action. On the other-hand, at a lower temperature-near the QCD plateau- We detect signatures of two boundary terms of the Lüscher-Weisz (LW) string action. The (LW) string with boundary action is yielding a static potential which is in a good agreement with the lattice data, however, for color source separation as short as $R=0.3$ fm.

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