This paper traces the origin of renormalization group concepts back to two strands of 1950s high energy physics: the causal perturbation theory programme, which gave rise to the Stueckelberg-Petermann renormalization group, and the debate about the consistency of quantum electrodynamics, which gave rise to the Gell-Mann-Low renormalization group. Recognising the different motivations that shaped these early approaches sheds light on the formal and interpretive diversity we find in contemporary renormalization group methods.

中文翻译：

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重整化群概念的双重起源

本文将重整化群概念的起源追溯到 1950 年代高能物理学的两个分支：引起 Stueckelberg-Petermann 重整化群的因果微扰理论程序，以及引发量子电动力学一致性的争论。 Gell-Mann-Low 重整化群。认识到形成这些早期方法的不同动机，可以阐明我们在当代重整化组方法中发现的形式和解释多样性。