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.

引用

页数：16

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