具有拓扑绕组模式的光滑磁通表
Smooth flux-sheets with topological winding modes
摘要：
在Polyakov-Kleinert弦作用量中引入高斯曲率项，利用Gauss-Bonnet定理给出了新的边界条件。在一个领先的近似，本征模的光滑世界片和自由能的气体开放刚性弦似乎是改变在第二阶的拓扑项的耦合。与拓扑$θ$项类似，将Gauss-Bonnet项引入到具有复杂耦合的有效作用量中以实现有符号能量移位。本文利用拓扑诱导位移研究了临界点附近两个静态色源之间的刚性色通量面。将静态夸克-反夸克$Q\bar{Q}$在热浴中的势的Yang-Mills格点数据与弦势进行了比较。蒙特卡罗数据对应于在$β=6.0$的SU（3）规范组态上平均的链路积分的Polyakov回路振荡器。在非微扰源分离距离$0.2$ fm到$1.0$ fm范围内，拟合行为有了实质性的改善。值得注意的是，从拟合返回的拓扑项的耦合参数表现出与量子数成比例。这些发现表明，显式模式是一个拓扑粒子在弦的世界表上的缠绕数。
英文摘要：
The inclusion of the Gaussian-curvature term in the bulk of Polyakov-Kleinert string action renders new boundary terms and conditions by Gauss-Bonnet theorem. Within a leading approximation, the eigenmodes of smooth worldsheets and the free-energy of a gas of open rigid strings appears to be altered at second order in the coupling by the topological term . In analogy to the topological $θ$ term, the Gauss-Bonnet term is introduced into the effective action with a complex coupling to implement signed energy shifts. We investigate the rigid color flux-sheets between two static color sources near the critical point in the light of the topologically induced shifts. The Yang-Mills lattice data of the potential of static quark-antiquark $Q\bar{Q}$ in a heatbath is compared to the string potential. The Monte-Carlo data correspond to link-integrated Polyakov-loop correlators averaged over SU(3) gauge configurations at $β=6.0$. Substantial improvement in the fit behavior is displayed over the nonperturbative source separation distance $0.2$ fm to $1.0$ fm. Remarkably, the returned coupling parameter of the topological term from the fit exhibits a proportionality to a quantum number. These findings suggest that the manifested modes are the winding number of a topological particle on the string's worldsheet.
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