论文标题
晶格U（1）量规模型和三维Abelian-Higgs轨距场理论的关键行为
Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
论文作者
论文摘要
我们在哪些条件下研究了三维（3D）多组分的Abelian-Higgs（AH）野外理论（标量电动力学）是统计晶格量规模型的连续限制，即当它表征这些模型中发生临界过渡的普遍行为时，它是在这些模型中发生的。我们对晶格AH模型进行了蒙特卡洛模拟，并具有紧凑的量规场和$ n $ - 组件标量字段，带电$ q \ ge 2 $ for $ n = 15 $和25。此外，它们与沿着库仑至河口过渡线的晶格AH模型中的过渡相同。我们最终认为，这些关键行为是由3D AH场理论的重新归一化流动流的稳定固定点描述的。
We investigate under which conditions the three-dimensional (3D) multicomponent Abelian-Higgs (AH) field theory (scalar electrodynamics) is the continuum limit of statistical lattice gauge models, i.e., when it characterizes the universal behavior at critical transitions occurring in these models. We perform Monte Carlo simulations of the lattice AH model with compact gauge fields and $N$-component scalar fields with charge $q\ge 2$ for $N=15$ and 25. Finite-size scaling analyses of the Monte Carlo data show that the transitions along the line separating the confined and deconfined phases are continuous and that they belong to the same universality class for any $q\ge 2$. Moreover, they are in the same universality class as the transitions in the lattice AH model with noncompact gauge fields along the Coulomb-to-Higgs transition line. We finally argue that these critical behaviors are described by the stable charged fixed point of the renormalization-group flow of the 3D AH field theory.
