论文标题
高电荷三维紧凑型晶格Abelian-Higgs模型
Higher-charge three-dimensional compact lattice Abelian-Higgs models
论文作者
论文摘要
我们考虑了三维高电荷多组分晶格Abelian-Higgs（AH）模型，其中紧凑的U（1）量规场与具有整数电荷Q的N-组分复合体标量耦合，以便它们具有局部u（1）和全局su（n）符号。我们讨论了相图的依赖性以及相变的性质，对标量场的电荷Q和组件的数字n> 1。我们认为，高电荷模型的相图提出了三个不同的阶段，与量规不变的双线性标量场的凝结有关，破坏了全局SU（N）对称性，以及外部电荷颗粒的限制/解密。分开不同阶段的过渡线显示不同的特征，这也取决于组件的数字n。因此，高电荷模型的相图与单位荷尔兰模型的相图大不相同，该模型仅发生由全局SU（N）对称性的破坏驱动的过渡，而规格相关性则没有任何相关作用。我们基于蒙特卡洛模拟分析的有限尺寸缩放分析，以支持偶然的单位长度标量字段，这些分析具有数值结果，以n = 2和n = 25。
We consider three-dimensional higher-charge multicomponent lattice Abelian-Higgs (AH) models, in which a compact U(1) gauge field is coupled to an N-component complex scalar field with integer charge q, so that they have local U(1) and global SU(N) symmetries. We discuss the dependence of the phase diagram, and the nature of the phase transitions, on the charge q of the scalar field and the number N>1 of components. We argue that the phase diagram of higher-charge models presents three different phases, related to the condensation of gauge-invariant bilinear scalar fields breaking the global SU(N) symmetry, and to the confinement/deconfinement of external charge-one particles. The transition lines separating the different phases show different features, which also depend on the number N of components. Therefore, the phase diagram of higher-charge models substantially differs from that of unit-charge models, which undergo only transitions driven by the breaking of the global SU(N) symmetry, while the gauge correlations do not play any relevant role. We support the conjectured scenario with numerical results, based on finite-size scaling analyses of Monte Carlo simuations for doubly-charged unit-length scalar fields with small and large number of components, i.e. N=2 and N=25.
