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Renormalization scrutinized
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics ( IF 1.663 ) Pub Date : 2019-11-01 , DOI: 10.1016/j.shpsb.2019.04.006
Sébastien Rivat

In this paper, I propose a general framework for understanding renormalization by drawing on the distinction between effective and continuum Quantum Field Theories (QFTs), and offer a comprehensive account of perturbative renormalization on this basis. My central claim is that the effective approach to renormalization provides a more physically perspicuous, conceptually coherent and widely applicable framework to construct perturbative QFTs than the continuum approach. I also show how a careful comparison between the two approaches: (i) helps to dispel the mystery surrounding the success of the renormalization procedure; (ii) clarifies the various notions of renormalizability; and (iii) gives reasons to temper Butterfield and Bouatta’s claim that some continuum QFTs are ripe for metaphysical inquiry (Butterfield and Bouatta, 2014).

中文翻译:

重新规范化审查

在本文中,我提出了一个通过有效和连续量子场理论(QFT)之间的区别来理解重归一化的通用框架,并在此基础上全面介绍了扰动重归一化。我的主要主张是,与连续方法相比,有效的重新规范化方法为构造扰动QFT提供了更直观的,概念上一致的和广泛适用的框架来构造扰动QFT。我还展示了两种方法之间的仔细比较:(i)有助于消除围绕重新规范化过程成功的神秘感;(ii)阐明可重归一性的各种概念;(iii)给出了缓和Butterfield和Bouatta的主张的理由,即某些连续统QFT对于形而上学的探究已经成熟(Butterfield和Bouatta,2014年)。
更新日期:2019-11-01
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