A Bekenstein-type bound in QFT
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913512816640000 |
|---|---|
| author | Longo, Roberto |
| author_facet | Longo, Roberto |
| contents | Let B be a spacetime region of width 2R > 0, and ϕa vector state localized in B. We show that the vacuum relative entropy of ϕ, on the local von Neumann algebra of B, is bounded by 2πR-times the energy of the state ϕin B. This bound is model-independent and rigorous; it follows solely from first principles in the framework of translation covariant, local Quantum Field Theory on the Minkowski spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14408 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Bekenstein-type bound in QFT Longo, Roberto Mathematical Physics Information Theory High Energy Physics - Theory Operator Algebras 81T05, 81P45, 94A17, 46L60 Let B be a spacetime region of width 2R > 0, and ϕa vector state localized in B. We show that the vacuum relative entropy of ϕ, on the local von Neumann algebra of B, is bounded by 2πR-times the energy of the state ϕin B. This bound is model-independent and rigorous; it follows solely from first principles in the framework of translation covariant, local Quantum Field Theory on the Minkowski spacetime. |
| title | A Bekenstein-type bound in QFT |
| topic | Mathematical Physics Information Theory High Energy Physics - Theory Operator Algebras 81T05, 81P45, 94A17, 46L60 |
| url | https://arxiv.org/abs/2409.14408 |