论文标题
三维无单极的CP $^{N-1} $模型：在存在四分之一的潜力的情况下行为
Three-dimensional monopole-free CP$^{N-1}$ models: Behavior in the presence of a quartic potential
论文作者
论文摘要
我们在三维模型中研究了相位图和相变的性质，该模型的特征是全局SU（$ n $）对称性，局部U（1）对称性和缺乏单极管。它代表了量规无单极（MF）CP $^{N-1} $模型的自然概括，其中固定长度约束（伦敦极限）放松。我们已经以$ n = 2 $和25进行了蒙特卡洛模拟，在这两种情况下都观察到有限温度的过渡，这与局部规格不变的订单参数有关。对于$ n = 2 $，MF模型的结果与弱的一阶过渡一致。只有在缩放校正异常大的情况下，才能进行连续过渡。对于$ n = 25 $，一般MF模型中的结果也与一阶过渡一致，随着场地长度波动的尺寸减小，它变得较弱。
We investigate the phase diagram and the nature of the phase transitions in a three-dimensional model characterized by a global SU($N$) symmetry, a local U(1) symmetry, and the absence of monopoles. It represents a natural generalization of the gauge monopole-free (MF) CP$^{N-1}$ model, in which the fixed-length constraint (London limit) is relaxed. We have performed Monte Carlo simulations for $N=2$ and 25, observing a finite-temperature transition in both cases, related to the condensation of a local gauge-invariant order parameter. For $N=2$ results for the MF model are consistent with a weak first-order transition. A continuous transition would be possible only if scaling corrections were anomalously large. For $N=25$ the results in the general MF model are also consistent with a first-order transition, that becomes weaker as the size of the field-length fluctuations decreases.
