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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Local approximations of global Hamiltonian from inclusion of algebras

  • Yidong Chen1
  • Nima Lashkari2
  • Kwing Lam Leung2
  1. 1University of Illinois at Urbana-Champaign
  2. 2Purdue University
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Abstract

A bstract : 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 operators of inclusions of algebras and can be viewed as regulators of the modular Hamiltonian of local algebras of QFT.

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Cite

BibTeXRIS
BibTeX
@article{chen2026local,
  title = {{Local approximations of global Hamiltonian from inclusion of algebras}},
  author = {Yidong Chen and Nima Lashkari and Kwing Lam Leung},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)138},
  url = {https://link.springer.com/10.1007/JHEP10(2026)138},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Local approximations of global Hamiltonian from inclusion of algebras
AU  - Yidong Chen
AU  - Nima Lashkari
AU  - Kwing Lam Leung
PY  - 2026
DA  - 2026/10/12
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)138
UR  - https://link.springer.com/10.1007/JHEP10(2026)138
AB  - A bstract : 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 operators of inclusions of algebras and can be viewed as regulators of the modular Hamiltonian of local algebras of QFT.
SN  - 1029-8479
ER  -