2022-01-22T05:48:18Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000557082021-03-01T12:28:29ZTensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term藏増, 嘉伸クラマシ, ヨシノブKURAMASHI, YoshinobuYoshimura, Yusuke© The Authors. Article funded by SCOAP3.This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.We make an analysis of the two-dimensional U(1) lattice gauge theory with a θ 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 θ = π toward the thermodynamic limit. In addition finite size scaling analysis of the topological susceptibility up to V = L × L = 1024 × 1024 allows us to determine the phase transition at θ = π is the first order.Springer2020-04engjournal articlehttp://hdl.handle.net/2241/00161109https://tsukuba.repo.nii.ac.jp/records/5570810.1007/JHEP04(2020)0891029-8479AA1188279XJournal of High Energy Physics2020489https://tsukuba.repo.nii.ac.jp/record/55708/files/JHEP_4-89.pdfapplication/pdf426.6 kB2020-08-25