Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term
Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term
复制标题
DOI：
10.1007/jhep04(2020)089
复制
发表时间：
2020-04-15
影响因子：
5.4
通讯作者：
Yoshimura, Yusuke
中科院分区：
文献类型：
--
作者：
Kuramashi, Yoshinobu;Yoshimura, Yusuke
本文利用张量重整化群分析了含θ项的二维U（1）格点规范理论。在有限耦合常数下，我们的自由能数值计算结果与精确计算结果具有很好的一致性。拓扑电荷密度在θ = π处产生一个有限的能隙，接近热力学极限。此外，拓扑磁化率的有限尺寸标度分析高达V = L × L = 1024 × 1024允许我们确定在θ = π的相变是一阶的。
We make an analysis of the two-dimensional U(1) lattice gauge theory with a theta term by using the tensor renormalization group. Our numerical result for the free energy shows good consistency with the exact one at finite coupling constant. The topological charge density generates a finite gap at theta = pi toward the thermodynamic limit. In addition finite size scaling analysis of the topological susceptibility up to V = L x L = 1024 x 1024 allows us to determine the phase transition at theta = pi is the first order.