Local approximations of global Hamiltonian from inclusion of algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911469273088000 |
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| author | Chen, Yidong Lashkari, Nima Leung, Kwing Lam |
| author_facet | Chen, Yidong Lashkari, Nima Leung, Kwing Lam |
| contents | We write down the global Hamiltonian of conformal field theory (CFT) in finite volume in terms of the modular Hamiltonian of the vacuum reduced to a local ball-shaped region, and use it to propose local approximations to the global Minkowski Hamiltonian in quantum field theory (QFT). The proposed Hamiltonians are motivated by the operator-algebraic property of nuclearity. They are constructed from the characteristic functions of inclusion of algebras and can be viewed as regulators of the modular Hamiltonian of local algebras of QFT |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_25062 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local approximations of global Hamiltonian from inclusion of algebras Chen, Yidong Lashkari, Nima Leung, Kwing Lam High Energy Physics - Theory We write down the global Hamiltonian of conformal field theory (CFT) in finite volume in terms of the modular Hamiltonian of the vacuum reduced to a local ball-shaped region, and use it to propose local approximations to the global Minkowski Hamiltonian in quantum field theory (QFT). The proposed Hamiltonians are motivated by the operator-algebraic property of nuclearity. They are constructed from the characteristic functions of inclusion of algebras and can be viewed as regulators of the modular Hamiltonian of local algebras of QFT |
| title | Local approximations of global Hamiltonian from inclusion of algebras |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.25062 |