Modular Hamiltonian and entanglement entropy in the BMS free fermion theory
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911054896824320 |
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| author | Hao, Peng-Xiang Lai, Wen-Xin Song, Wei Xiao, Zehua |
| author_facet | Hao, Peng-Xiang Lai, Wen-Xin Song, Wei Xiao, Zehua |
| contents | We study the modular Hamiltonian and the entanglement entropy of the BMS-invariant free fermion model. Starting from the modular Hamiltonian on a half-line interval, we calculate the modular Hamiltonian for a region consisting of two disjoint intervals using the uniformization map and a background field method. The resulting modular Hamiltonian contains a local term which generates a geometrical flow, and a bi-local term which mixes operators between the two intervals. We further derive a relation between Wightman functions and the modular Hamiltonian using both diagonalization and a coherent state method. This enables us to compute the entanglement entropy for multi-disjoint intervals. Our explicit results in the BMS free fermion model are compatible with earlier ones based on symmetry and holography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular Hamiltonian and entanglement entropy in the BMS free fermion theory Hao, Peng-Xiang Lai, Wen-Xin Song, Wei Xiao, Zehua High Energy Physics - Theory We study the modular Hamiltonian and the entanglement entropy of the BMS-invariant free fermion model. Starting from the modular Hamiltonian on a half-line interval, we calculate the modular Hamiltonian for a region consisting of two disjoint intervals using the uniformization map and a background field method. The resulting modular Hamiltonian contains a local term which generates a geometrical flow, and a bi-local term which mixes operators between the two intervals. We further derive a relation between Wightman functions and the modular Hamiltonian using both diagonalization and a coherent state method. This enables us to compute the entanglement entropy for multi-disjoint intervals. Our explicit results in the BMS free fermion model are compatible with earlier ones based on symmetry and holography. |
| title | Modular Hamiltonian and entanglement entropy in the BMS free fermion theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.10503 |