论文标题
关于莱昂·范·霍夫（LéonVanHove）1952年关于量子场理论基础的文章
On Léon van Hove's 1952 article on the foundations of Quantum Field Theory
论文作者
论文摘要
1952年，莱昂·范·霍夫（LéonVanHove）在法语中发表了一篇文章，标题为``les offings de divergences pour ummodèlepreginulier dechampifié'''。这篇文章经常被引用有关Haag定理以及量子场理论中规范换向关系的单位不相等表示的问题。简而言之，它表明，扰动量子场理论中差异的外观与属于相互作用理论的量子状态不属于自由理论的希尔伯特空间的事实。这也表明，重新归一化未能对量子场的时间演变提供准确的描述，尽管它正确地解释了S矩阵。由于它的相关性，并且很难找到英语翻译，因此在这里再次提出了本文所包含的思想，并随着推导而扩展，并伴随着旨在将分析置于背景的讨论。我们从当代读者的角度突出了要点，并强调了量子场理论课程中通常教授的标准方法的差异。
In 1952, Léon van Hove published an article, in French, with the title ``Les difficultés de divergences pour um modèle particulier de champ quantifié''. The article is frequently cited in relation to Haag's theorem and to the issue of the existence of unitarily inequivalent representations of the canonical commutation relations in Quantum Field Theory. Summarizing in brief, it suggests a link between the appearance of divergences in perturbative Quantum Field Theory and the fact that quantum states belonging to an interacting theory do not belong to the same Hilbert space of the free theory. It also suggests that renormalization fails to provide an accurate description of the time evolution of the quantum field, although it correctly accounts for the S matrix. Due to its relevance, and to the difficulty of finding an English translation, the ideas contained in this article are proposed again here, expanded with derivations and accompanied by a discussion aimed at putting the analysis into context. We highlight the main points from the perspective of a contemporary reader, and underline the differences with the standard approach usually taught in curricular courses in Quantum Field Theory.
