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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2502.06135 |
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| _version_ | 1866910820140580864 |
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| author | Aizawa, Hayato Takeda, Shinji Yoshimura, Yusuke |
| author_facet | Aizawa, Hayato Takeda, Shinji Yoshimura, Yusuke |
| contents | We analyze the phase structure of 2d lattice CP(1) model with $θ$ term by using the bond-weighted tensor renormalization group method. We propose a new tensor network representation for the model using the quadrature scheme and confirm that its accuracy is better than that of the conventional character-like expansion. As a probe to study the phase structure, we adopt the central charge and the scaling dimensions. The numerical results indicate an existence of critical point at $θ=π$, which is consistent with the Haldane's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06135 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase structure analysis of CP(1) model with $θ$ term by tensor renormalization group Aizawa, Hayato Takeda, Shinji Yoshimura, Yusuke High Energy Physics - Lattice We analyze the phase structure of 2d lattice CP(1) model with $θ$ term by using the bond-weighted tensor renormalization group method. We propose a new tensor network representation for the model using the quadrature scheme and confirm that its accuracy is better than that of the conventional character-like expansion. As a probe to study the phase structure, we adopt the central charge and the scaling dimensions. The numerical results indicate an existence of critical point at $θ=π$, which is consistent with the Haldane's conjecture. |
| title | Phase structure analysis of CP(1) model with $θ$ term by tensor renormalization group |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2502.06135 |