标题： (2+1)维紧致阿贝尔Higgs模型中的拓扑序与去禁闭相变 显示英文标题

标题： Topological order and the deconfinement transition in the (2+1) dimensional compact Abelian Higgs model

摘要： 我们研究了一种阿贝尔规范理论，该理论最小耦合到带有电荷q的玻色物质，可能在(2+1)维中发生禁闭-去禁闭相变。利用与分数电荷的大威尔逊圈相关的非局域序参量$\tilde W$分析了这一相变。我们将模型映射到一个对偶表示形式，在这种表示中没有规范场，而只有一个全局q态时钟对称性，并表明$\tilde W$对应于该模型的畴壁能量。$\tilde W$还直接与拓扑序的概念相关联。我们在蒙特卡洛模拟中利用这些事实来研究去禁闭相变的详细性质。 显示英文摘要

摘要： We study an Abelian compact gauge theory minimally coupled to bosonic matter with charge q, which may undergo a confinement--deconfinement transition in (2+1)D. The transition is analyzed using a nonlocal order parameter $\tilde W$, which is related to large Wilson loops for fractional charges. We map the model to a dual representation with no gauge field but only a global q-state clock symmetry and show that $\tilde W$ correspond to the domain wall energy of that model. $\tilde W$ is also directly connected to the concept of topological order. We exploit these facts in Monte Carlo simulations to study the detailed nature of the deconfinement transition.