论文标题
Berezinskii-Kosterlitz-二维晶格中的无用过渡（$ n_c $）带有两个标量的口味的理论
Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice SO($N_c$) gauge theories with two scalar flavors
论文作者
论文摘要
我们研究了具有两个标量的口味的二维晶格SO（$ N_C \ GE 3 $）的相图和临界行为，并通过部分测量最大O（$ 2N_C $）对称标量表模型获得。该模型在本地SO（$ N_C $）和全局O（2）转换下是不变的。我们表明，对于任何$ n_c \ ge 3 $，它都会经历有限的berezinskii-kosterlitz-- thouless（bkt）过渡，与全球Abelian O（2）对称性相关。过渡将高温无序相位与低温自旋波相分开，在该相位上相关性衰减代数（准长范围顺序）。有限温度的BKT转变和低温自旋波相处的临界特性是通过对蒙特卡洛数据进行有限尺寸的缩放分析来确定的。
We study the phase diagram and critical behavior of a two-dimensional lattice SO($N_c$) gauge theory ($N_c \ge 3$) with two scalar flavors, obtained by partially gauging a maximally O($2N_c$) symmetric scalar model. The model is invariant under local SO($N_c$) and global O(2) transformations. We show that, for any $N_c \ge 3$, it undergoes finite-temperature Berezinskii-Kosterlitz-Thouless (BKT) transitions, associated with the global Abelian O(2) symmetry. The transition separates a high-temperature disordered phase from a low-temperature spin-wave phase where correlations decay algebraically (quasi-long range order). The critical properties at the finite-temperature BKT transition and in the low-temperature spin-wave phase are determined by means of a finite-size scaling analysis of Monte Carlo data.
