Title: Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term Show Chinese title

Title: 两味大质量施温格模型的格拉斯曼张量重正化群方法带θ项

Abstract: We investigate the $N_f=2$ Schwinger model with the massive staggered fermions in the presence of a $2\pi$ periodic $\theta$ term, using the Grassmann tensor renormalization group. Thanks to the Grassmann tensor network formulation, there is no difficulty in dealing with the massive staggered fermions. We study the $\theta$ dependence of the free energy in the thermodynamic limit. Our calculation provides consistent results with the analytical solution in the large mass limit. The results also suggest that the $N_f=2$ Schwinger model on a lattice has a different phase structure from that described by the continuum theory. Show Chinese abstract

Abstract: 我们研究了在存在$2\pi$周期性$\theta$项的情况下，使用 Grassmann 张量重正化群的$N_f=2$施温格模型，其中包含质量化的交错费米子。 由于 Grassmann 张量网络公式，处理质量化的交错费米子没有困难。 我们研究了在热力学极限下自由能的$\theta$依赖性。 我们的计算结果在大质量极限下与解析解一致。 这些结果还表明，格点上的$N_f=2$施温格模型具有与连续理论描述不同的相结构。