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arXiv 1107.1374math-phhep-thmath.MP
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因果量子理论的模局部化和整体结构:一个历史的观点

Modular localization and the holistic structure of causal quantum theory, a historical perspective

Bert Schroer

摘要:

最近对QFT(“模块化本地化”)中本地化概念结构的深入了解澄清了旧的未解决的问题。最古老的一个是爱因斯坦-约旦难题,它导致约旦在1925年发现了量子场论。将热浴系统(爱因斯坦)的子系统中的涨落与将QFT真空态限制在开放子体积(乔丹)中所产生的涨落进行比较,可以得出一个完美的类比;全局纯真空态在局部限制下变成了一个强不纯的KMS态。这种局域化引起的热行为以及局域化区域因果边界处的真空极化云的现象使QFT中的局域化与量子力学形成鲜明对比,并证明了“holstic”属性的合理性。事实上,它将E-J Gedanken实验定位为与宇宙学常数问题和Unruh Gedanken实验相同的概念范畴。由“模局部化”产生的QFT的整体结构也导致了对关键交叉性质的概念起源的修正,交叉性质在自举S-矩阵方法的时候进入粒子理论,但在对偶模型和弦论的S-矩阵设置中受到了不正确的使用。新的整体观点,加强了QFT的自治方面,也带来了新的信息规范理论通过暴露希尔伯特空间结构和本地化之间的冲突,并提出替代解决方案的基础上使用弦局部场在希尔伯特空间。除其他外,这导致了对恩格勒-希格斯对称性破缺机制的彻底重新表述。

英文摘要:

Recent insights into the conceptual structure of localization in QFT ("modular localization") led to clarifications of old unsolved problems. The oldest one is the Einstein-Jordan conundrum which led Jordan in 1925 to the discovery of quantum field theory. This comparison of fluctuations in subsystems of heat bath systems (Einstein) with those resulting from the restriction of the QFT vacuum state to an open subvolume (Jordan) leads to a perfect analogy; the globally pure vacuum state becomes upon local restriction a strongly impure KMS state. This phenomenon of localization-caused thermal behavior as well as the vacuum-polarization clouds at the causal boundary of the localization region places localization in QFT into a sharp contrast with quantum mechanics and justifies the attribute "holstic". In fact it positions the E-J Gedankenexperiment into the same conceptual category as the cosmological constant problem and the Unruh Gedankenexperiment. The holistic structure of QFT resulting from "modular localization" also leads to a revision of the conceptual origin of the crucial crossing property which entered particle theory at the time of the bootstrap S-matrix approach but suffered from incorrect use in the S-matrix settings of the dual model and string theory. The new holistic point of view, which strengthens the autonomous aspect of QFT, also comes with new messages for gauge theory by exposing the clash between Hilbert space structure and localization and presenting alternative solutions based on the use of stringlocal fields in Hilbert space. Among other things this leads to a radical reformulation of the Englert-Higgs symmetry breaking mechanism.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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