Tensor renormalization group of two-dimensional U(1) lattice gauge theory with a θ term

27 Jul 2021, 22:30
15m
Oral presentation Theoretical developments and applications beyond particle physics Theoretical developments and applications beyond particle physics

Speaker

Yusuke Yoshimura (University of Tsukuba)

Description

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=1024×1024 allows us to determine the phase transition at θ=π is the first order.

Primary authors

Yoshinobu Kuramashi (University of Tsukuba) Yusuke Yoshimura (University of Tsukuba)

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