论文标题
在有限温度的$ \ mathbb {z} _3 $ gauge理论中，狄拉克模式的解元过渡和定位
Deconfinement transition and localization of Dirac modes in finite-temperature $\mathbb{Z}_3$ gauge theory on the lattice
论文作者
论文摘要
我们研究了在有限温度的$ \ mathbb {z} _3 _3 $ pure Gauge理论中，在2+1个维度的晶格中，在解元过渡中交错的狄拉克运算符的本征元素的定位特性。这允许对海洋局部图像进行非平凡的测试，根据该图，低模式应在量规理论的解剖阶段中定位在有利的Polyakov-loop波动上。我们在理论的解构阶段观察到局部低模式，无论是预期的，在实际的Polyakov-loop部门，以及在没有的复杂的Polyakov-loop部门中。我们的发现揭示了标准海岛图片的局限性，并要求其改进。提出了一个改进的图片，即空间跳跃术语起着更为突出的作用，并发现与数值结果非常吻合。
We study the localization properties of the eigenmodes of the staggered Dirac operator across the deconfinement transition in finite-temperature $\mathbb{Z}_3$ pure gauge theory on the lattice in 2+1 dimensions. This allows for nontrivial tests of the sea-islands picture of localization, according to which low modes should localize on favorable Polyakov-loop fluctuations in the deconfined phase of a gauge theory. We observe localized low modes in the deconfined phase of the theory, both in the real Polyakov-loop sector, where they are expected, and in the complex Polyakov-loop sectors, where they are not. Our findings expose the limitations of the standard sea-islands picture, and call for its refinement. An improved picture, where spatial hopping terms play a more prominent role, is proposed and found to be in excellent agreement with numerical results.
