论文标题
ISING模型作为$ u（1）$ lattice量规理论，具有$θ$ - 术语
Ising model as a $U(1)$ Lattice Gauge Theory with a $θ$-term
论文作者
论文摘要
我们讨论了一个测量XY模型在1+1个维度的任意晶格上的$θ$ - 并表明该理论完全降低到双晶格上的2D ISING模型，前提是强量规耦合的极限，前提是通过反派动作定义了拓扑术语。我们通过比较强和弱量值耦合极限并在中间耦合上进行蒙特卡洛模拟来讨论相图。我们使用更高形式的u（1）仪表类似物将二元性概括为更高维的ISING模型。
We discuss a gauged XY model a $θ$-term on an arbitrary lattice in 1+1 dimensions, and show that the theory reduces exactly to the 2d Ising model on the dual lattice in the limit of the strong gauge coupling, provided that the topological term is defined via the Villain action. We discuss the phase diagram by comparing the strong and weak gauge coupling limits, and perform Monte Carlo simulations at intermediate couplings. We generalize the duality to higher-dimensional Ising models using higher-form U(1) gauge field analogues.
