Yang-Mills理论中具有action边界的弦的量子离域
Quantum delocalization of strings with boundary action in Yang-Mills theory
摘要：
研究了在自由Nambu-Goto近似下有效弦模型中QCD弦的量子离域宽度。我们考虑了Lüscher-Weisz弦作用量中的两个Lorentzian不变边界项和NG弦作用量中的两个圈阶的自相互作用项。实现QCD弦的可能的刚性的几何术语也被仔细检查。对四维纯$SU(3)$ Yang-Mills格点规范理论在退禁闭点附近的两个温度标度下进行了数值分析。与此QCD弦模型的比较研究的目标是色源分离$0.5 \le R \le 1.2$ fm的静态夸克-反夸克系统的能量剖面的宽度。我们发现，列入的刚性属性和对称性的边界作用到字符串范例再现一个很好的匹配与此距离尺度上的QCD通量管的Monte Carlo数据的配置文件。
英文摘要：
The width of the quantum delocalization of the QCD strings is investigated in effective string models beyond free Nambu-Goto approximation. We consider two Lorentzian-invariant boundary-terms in the Lüscher-Weisz string action in addition to self-interaction term equivalent to two loop order in the (NG) string action. The geometrical terms which realize the possible rigidity of the QCD string is scrutinized as well. We perform the numerical analysis on the 4-dim pure $SU(3)$ Yang-Mills lattice gauge theory at two temperature scales near deconfinement point. The comparative study with this QCD string model targets the width of the energy profile of a static quark-antiquark system for color sources separation $0.5 \le R \le 1.2$ fm. We find the inclusion of rigidity properties and symmetry effects of the boundary action into the string paradigm to reproduce a good match with the profile of the Mont-Carlo data of QCD flux-tube on this distance scale.
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