Abstract
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.
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Kuramashi, Y., Yoshimura, Y. Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term. J. High Energ. Phys. 2020, 89 (2020). https://doi.org/10.1007/JHEP04(2020)089
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DOI: https://doi.org/10.1007/JHEP04(2020)089