28 July 2024 to 3 August 2024
Europe/London timezone

Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term

30 Jul 2024, 16:35
20m
Talk Theoretical Developments Theoretical developments

Speaker

Hayato Kanno (RIKEN BNL Research Center, RIKEN)

Description

We use the Grassmann tensor renormalization group method to calculate the free energy of the $N_f=2$ Schwinger model with a $2\pi$ periodic $\theta$ term in a broad range of mass. We confirm the numerical results agree with the analytical ones in the large mass limit, and check the qualitative consistency in the small mass limit. We also calculate the vacuum degeneracy, which is consistent in the large mass regime. The $\theta$ dependence is then examined in the finite mass region, which is inaccessible in analytical calculations. Our numerical study suggests that the finite mass effects lead to a different result than analytic values in both large and small mass regimes.

Primary authors

Hayato Kanno (RIKEN BNL Research Center, RIKEN) Shinichiro Akiyama (University of Tsukuba) Kotaro Murakami (Tokyo Institute of Technology) Shinji Takeda (Kanazawa University)

Presentation materials