Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term
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| Format: | Preprint |
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2025
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| _version_ | 1866909465217859584 |
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| author | Kanno, Hayato Akiyama, Shinichiro Murakami, Kotaro Takeda, Shinji |
| author_facet | Kanno, Hayato Akiyama, Shinichiro Murakami, Kotaro Takeda, Shinji |
| contents | We investigate the $N_f=2$ Schwinger model with the massive staggered fermions in the presence of a $2π$ periodic $θ$ 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 $θ$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_14086 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term Kanno, Hayato Akiyama, Shinichiro Murakami, Kotaro Takeda, Shinji High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We investigate the $N_f=2$ Schwinger model with the massive staggered fermions in the presence of a $2π$ periodic $θ$ 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 $θ$ 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. |
| title | Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.14086 |