论文标题

雪人白皮书:定义QFT的寻求

Snowmass White Paper: The Quest to Define QFT

论文作者

Dedushenko, Mykola

论文摘要

本文对量子场理论中严格的定义和构造的文献进行了综述,涵盖了七十年的时期。与现代物理文献中发现的思想和结构相比,我们得出结论,QFT公理的现有系统都无法涵盖所有​​物理情况。因此,制定QFT的完整定义仍然是一个重大的开放问题。我们认为,这个问题对于物理学家和数学家都是相关的。

This article provides a review of the literature on rigorous definitions and constructions in Quantum Field Theory, spanning the period of seven decades. Comparing with the ideas and constructions found in the modern physics literature, we conclude that none of the existing systems of QFT axioms can cover all the physical situations. Therefore, it is still an outstanding open problem to formulate a complete definition of QFT. We argue that the question is of relevance for both physicists and mathematicians.

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