标题： 三维紧致格点阿贝尔希格斯模型中多重电荷标量场的禁闭相变 显示英文标题

标题： Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields

摘要： 我们研究了三维格点阿贝尔希格斯模型中的禁闭-解禁相变性质，其中电荷为整数的复标量场$Q\ge 2$与紧致的$U(1)$规范场最小耦合。 它们的相图呈现两个相，由一条相变线分隔，在这条线上静态电荷$q$，具有$q<Q$，会解禁。 我们认为这些解禁相变属于与一般三维${\mathbb Z}_Q$规范模型中相变相同的普适性类。 特别是，它们对于$Q=2$是类似伊辛的，对于$Q=3$是一阶的，并且属于三维规范$XY$通用性类对于$Q\ge 4$。这种一般情景得到了能量累积量的数值有限尺寸标度分析的支持对于$Q=2$，$Q=4$，和$Q=6$。 显示英文摘要

摘要： We investigate the nature of the deconfinement transitions in three-dimensional lattice Abelian Higgs models, in which a complex scalar field of integer charge $Q\ge 2$ is minimally coupled with a compact $U(1)$ gauge field. Their phase diagram presents two phases separated by a transition line where static charges $q$, with $q<Q$, deconfine. We argue that these deconfinement transitions belong to the same universality class as transitions in generic three-dimensional ${\mathbb Z}_Q$ gauge models. In particular, they are Ising-like for $Q=2$, of first order for $Q=3$, and belong to the three-dimensional gauge $XY$ universality class for $Q\ge 4$. This general scenario is supported by numerical finite-size scaling analyses of the energy cumulants for $Q=2$, $Q=4$, and $Q=6$.