论文标题
三维无单极CP（N-1）模型
Three-dimensional monopole-free CP(N-1) models
论文作者
论文摘要
我们研究了三维无单极cp（N-1）模型的相图和相变的性质，其特征在于全局u（n）对称性和u（1）量规对称性，以及缺乏单极。我们介绍了基于n = 2,4,10,15和25的蒙特卡洛模拟的数值分析。在所有情况下，我们都会观察到与局部规格不变阶参数参数的凝结有关的有限温度转变。对于n = 2，我们无法就过渡的性质得出任何明确的结论。结果可以通过非常弱的一阶过渡或连续过渡来解释，并具有异常的尺度校正。但是，结果使我们可以排除系统发展O（3）向量通用类别的临界行为，因为它发生在没有单极抑制的标准三维CP（1）模型中。对于n = 4,10,15，过渡是一阶的，并且比在单孔存在下观察到的过渡明显弱。对于n = 25，结果与常规连续过渡一致。我们将结果与现有文献以及不同现场理论方法的预测进行了比较。我们的结果与与分析大N计算一致的模型进行大量N值的连续转换的情况是一致的。
We investigate the phase diagram, and the nature of the phase transitions, of three-dimensional monopole-free CP(N-1) models, characterized by a global U(N) symmetry and a U(1) gauge symmetry, and the absence of monopoles. We present numerical analyses based on Monte Carlo simulations for N=2,4,10,15, and 25. We observe a finite-temperature transition in all cases, related to the condensation of a local gauge-invariant order parameter. For N=2 we are unable to draw any definite conclusion on the nature of the transition. The results may be interpreted by either a very weak first-order transition or a continuous transition with anomalously large scaling corrections. However, the results allow us to exclude that the system develops the critical behavior of the O(3) vector universality class, as it occurs in the standard three-dimensional CP(1) model without monopole suppression. For N=4,10,15, the transition is of first order, and significantly weaker than that observed in the presence of monopoles. For N=25 the results are consistent with a conventional continuous transition. We compare our results with the existing literature and with the predictions of different field-theory approaches. Our results are consistent with the scenario in which the model undergoes continuous transitions for large values of N, in agreement with analytic large-N calculations.
