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arXiv · 2512.25062

Local approximations of global Hamiltonian from inclusion of algebras

Yidong Chen·Nima Lashkari·Kwing Lam Leung
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Abstract

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

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Yidong Chen, Nima Lashkari, Kwing Lam Leung. 2025-12-31. Local approximations of global Hamiltonian from inclusion of algebras. https://arxiv.org/abs/2512.25062

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