帕斯夸尔·乔丹的遗产和正在进行的量子场论研究
Pascual Jordan's legacy and the ongoing research in quantum field theory
摘要:
帕斯夸尔·乔丹作为量子场论(QFT)的主角的开创性作用被回顾,他与狄拉克的基于粒子的相对论性量子理论的友好争论被认为是场粒子难题的开始,尽管是以修改的形式,但一直持续到今天。约旦有一个直观的理解,存在的因果传播有限的传播速度在量子理论导致根本不同的物理现象比那些QM。对这种方法的概念数学理解仅在30年后才开始出现。乔丹的QFT观点和现代“局域量子物理学”之间最强的联系是因果局域性作为QFT的定义原则的核心作用,而不是QM中的玻恩局域化。因果局域化的问题也是一个误解导致大部分粒子理论严重脱轨的领域,例如将Nambu-Goto拉格朗日量子化产生的无限分量点状场误解为时空量子弦。新概念的模块化本地化,取代约旦的因果局部性,是特别重要的,以克服不完善的规范理论,约旦是第一个注意到非本地方面的物理(而不是拉格朗日)收费领域。两个有趣的主题,其中约旦是远远领先于他的同时代人将在两个单独的部分。
英文摘要:
Pascual Jordan's path-breaking role as the protagonist of quantum field theory (QFT) is recalled and his friendly dispute with Dirac's particle-based relativistic quantum theory is presented as the start of the field-particle conundrum which, though in modified form, persists up to this date. Jordan had an intuitive understanding that the existence of a causal propagation with finite propagation speed in a quantum theory led to radically different physical phenomena than those of QM. The conceptional-mathematical understanding for such an approach began to emerge only 30 years later. The strongest link between Jordan's view of QFT and modern "local quantum physics" is the central role of causal locality as the defining principle of QFT as opposed to the Born localization in QM. The issue of causal localization is also the arena where misunderstandings led to a serious derailment of large part of particle theory e.g. the misinterpretation of an infinite component pointlike field resulting from the quantization of the Nambu-Goto Lagrangian as a spacetime quantum string. The new concept of modular localization, which replaces Jordan's causal locality, is especially important to overcome the imperfections of gauge theories for which Jordan was the first to note nonlocal aspects of physical (not Lagrangian) charged fields. Two interesting subjects in which Jordan was far ahead of his contemporaries will be presented in two separate sections.
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