A Bekenstein-Type Bound in QFT

被引：0
|
作者：
Longo, Roberto [1 ]
机构：
[1] Tor Vergata Univ Roma, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2025年 / 406卷 / 05期
关键词：
MODULAR STRUCTURES; NUCLEAR MAPS;
D O I：
10.1007/s00220-025-05261-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Let B be a spacetime region of width 2R>0, and phi a vector state localized in B. We show that the vacuum relative entropy of phi, on the local von Neumann algebra of B, is bounded by 2 pi R-times the energy of the state phi in 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.
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页数：16
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