QFT中的一个bekenstein型界

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-04-04 DOI:10.1007/s00220-025-05261-1

Roberto Longo

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引用次数: 0

摘要

设B是一个宽度为\(2R >0\)的时空区域，\(\varphi \)是一个定域于B的矢量状态。我们证明了在B的局部von Neumann代数上，\(\varphi \)的真空相对熵的边界是\(2\pi R\) -乘以B中状态\(\varphi \)的能量，这个边界是模型无关的和严格的；它完全遵循平动协变框架下的第一性原理，即闵可夫斯基时空的局部量子场论。

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A Bekenstein-Type Bound in QFT

Let B be a spacetime region of width \(2R >0\), and \(\varphi \) a vector state localized in B. We show that the vacuum relative entropy of \(\varphi \), on the local von Neumann algebra of B, is bounded by \(2\pi R\)-times the energy of the state \(\varphi \) 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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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.