论文标题
标量量规格，带有离散的阿贝安对称组
Scalar gauge-Higgs models with discrete Abelian symmetry groups
论文作者
论文摘要
我们研究了通过测量Z_Q时钟模型的全局Z_Q不变性组的Z_N亚组获得的三维晶格量规模型的相位图和性质（n是Q的尺度）。相图通常以三个不同阶段的存在为特征，由三个不同的过渡线隔开。我们研究以标量场的顺序为特征的两个过渡线的临界行为。沿将无序限制的相位与有序分配的相位的过渡线，在Landau-Ginzburg-Wilson框架内的标准参数预测，该行为与具有ZP全球对称性的通用铁磁模型中的行为相同，P是Q/N。因此，连续过渡分别属于ISING和p = 2和p> 3的O（2）通用类别，而对于P = 3，只有一阶转换是可能的。蒙特卡洛模拟的结果证实了这些预测。还有第二个过渡线，该线路分开了两个阶段，其中量规场基本上是排序的。沿着这条线，我们观察到与ZQ时钟模型中相同的临界行为，因为它在没有规格场的情况下发生。
We investigate the phase diagram and the nature of the phase transitions of three-dimensional lattice gauge-Higgs models obtained by gauging the Z_N subgroup of the global Z_q invariance group of the Z_q clock model (N is a submultiple of q). The phase diagram is generally characterized by the presence of three different phases, separated by three distinct transition lines. We investigate the critical behavior along the two transition lines characterized by the ordering of the scalar field. Along the transition line separating the disordered-confined phase from the ordered-deconfined phase, standard arguments within the Landau-Ginzburg-Wilson framework predict that the behavior is the same as in a generic ferromagnetic model with Z_p global symmetry, p being the ratio q/N. Thus, continuous transitions belong to the Ising and to the O(2) universality class for p=2 and p>3, respectively, while for p=3 only first-order transitions are possible. The results of Monte Carlo simulations confirm these predictions. There is also a second transition line, which separates two phases in which gauge fields are essentially ordered. Along this line we observe the same critical behavior as in the Z_q clock model, as it occurs in the absence of gauge fields.
