标题： 库仑规范的Gribov副本与 confinement 势能 显示英文标题

标题： Coulomb gauge Gribov copies and the confining potential

摘要： 我们研究了Marinari等人发起的研究静态夸克反夸克势的方法，该方法基于在库仑规范下计算的有限时间跨度的Polyakov线。 我们表明，在较小的空间分离情况下，势可以被理解为两个单独规范不变的色荷之间的相互作用。 在较大的分离距离上，Gribov拷贝阻碍了非微扰地识别单独规范不变的色态。 我们首次演示了如何通过平均Gribov拷贝来普遍维持规范不变性。 这使我们能够将Polyakov线以及相应的规范不变的夸克-反夸克态的分析扩展到所有距离尺度。 利用大规模格点模拟，我们展示了这个插值态在夸克-反夸克扇区与基态具有良好的重叠，并且在所有距离上给出了完整的静态夸克反夸克势。 还在格点上展示了Gribov拷贝的可视化表示。 显示英文摘要

摘要： We study the approach, initiated by Marinari et al., to the static inter-quark potential based on Polyakov lines of finite temporal extent, evaluated in Coulomb gauge. We show that, at small spatial separations, the potential can be understood as being between two separately gauge invariant colour charges. At larger separations Gribov copies obstruct the non-perturbative identification of individually gauge invariant colour states. We demonstrate, for the first time, how gauge invariance can be maintained quite generally by averaging over Gribov copies. This allows us to extend the analysis of the Polyakov lines and the corresponding, gauge invariant quark-antiquark state to all distance scales. Using large scale lattice simulations, we show that this interpolating state possesses a good overlap with the ground state in the quark-antiquark sector and yields the full static inter-quark potential at all distances. A visual representation of the Gribov copies on the lattice is also presented.