论文标题
具有离散的Abelian仪表组的多组分量规模型
Multicomponent gauge-Higgs models with discrete Abelian gauge groups
论文作者
论文摘要
我们考虑了Charge-Q紧凑型Abelian-Higgs模型的变体，其中NF维复合体向量与Abelian Z_Q仪表磁场耦合。对于NF = 2和Q = 1，我们观察到属于O（4），O（3）和O（2）矢量通用性类别的几个过渡线，具体取决于过渡时的对称性破坏模式。只要q> = 3，通用性类别独立于$ q $。过渡的通用类别由标量场的行为唯一决定。量规场不起作用。我们还研究了NF = 15和Q = 2的系统。在存在U（1）轨距场的情况下，系统经历与Abelian-Higgs场理论的带电固定点相关的过渡。当U（1）量规场被离散的Z_Q字段替换时，这些连续的过渡变成了一阶：在当前紧凑型模型中，带电的过渡似乎对量规场的性质非常敏感
We consider a variant of the charge-Q compact Abelian-Higgs model, in which an Nf-dimensional complex vector is coupled with an Abelian Z_q gauge field. For Nf=2 and Q=1 we observe several transition lines that belong to the O(4), O(3), and O(2) vector universality classes, depending on the symmetry breaking pattern at the transition. The universality class is independent of $q$ as long as q>=3. The universality class of the transition is uniquely determined by the behavior of the scalar fields; gauge fields do not play any role. We also investigate the system for Nf=15 and Q=2. In the presence of U(1) gauge fields, the system undergoes transitions associated with charged fixed points of the Abelian-Higgs field theory. These continuous transitions turn into first-order ones when the U(1) gauge fields are replaced by the discrete Z_q fields: in the present compact model charged transitions appear to be very sensitive to the nature of the gauge fields
