Perturbative expansions and the foundations of quantum field theory

IF 0.8 4区物理与天体物理 Q2 HISTORY & PHILOSOPHY OF SCIENCE

The European Physical Journal H Pub Date : 2024-05-14 DOI:10.1140/epjh/s13129-024-00075-6

James D. Fraser, Kasia Rejzner

引用次数: 0

Abstract

Perturbative expansions have played a peculiarly central role in quantum field theory, not only in extracting empirical predictions but also in investigations of the theory’s mathematical and conceptual foundations. This paper brings the special status of QFT perturbative expansions into focus by tracing the history of mathematical physics work on perturbative QFT and situating a contemporary approach, perturbative algebraic QFT, within this historical context. Highlighting the role that perturbative expansions have played in foundational investigations helps to clarify the relationships between the formulations of QFT developed in mathematical physics and high-energy phenomenology.

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惯性展开与量子场论基础

扰动展开在量子场论中发挥了独特的核心作用，不仅在提取经验预测方面，而且在研究量子场论的数学和概念基础方面也是如此。本文通过追溯数学物理学关于微扰 QFT 的研究历史，并将当代方法--微扰代数 QFT--置于这一历史背景中，使人们关注 QFT 微扰展开的特殊地位。强调微扰展开在基础研究中所起的作用，有助于澄清数学物理中发展起来的 QFT 形式与高能现象学之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal H HISTORY & PHILOSOPHY OF SCIENCE-PHYSICS, MULTIDISCIPLINARY

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of this journal is to catalyse, foster, and disseminate an awareness and understanding of the historical development of ideas in contemporary physics, and more generally, ideas about how Nature works. The scope explicitly includes: - Contributions addressing the history of physics and of physical ideas and concepts, the interplay of physics and mathematics as well as the natural sciences, and the history and philosophy of sciences, together with discussions of experimental ideas and designs - inasmuch as they clearly relate, and preferably add, to the understanding of modern physics. - Annotated and/or contextual translations of relevant foreign-language texts. - Careful characterisations of old and/or abandoned ideas including past mistakes and false leads, thereby helping working physicists to assess how compelling contemporary ideas may turn out to be in future, i.e. with hindsight.