Renormalization scrutinized

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 68:23-39 (2019)
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Abstract

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 & Bouatta, 2014).

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Author's Profile

Sébastien Rivat
Ludwig Maximilians Universität, München

Citations of this work

Reversing the arrow of time.Bryan W. Roberts - 2022 - Cambridge: Cambridge University Press.
Renormalization group methods and the epistemology of effective field theories.Adam Koberinski & Doreen Fraser - 2023 - Studies in History and Philosophy of Science Part A 98 (C):14-28.
Regularizing (Away) Vacuum Energy.Adam Koberinski - 2021 - Foundations of Physics 51 (1):1-22.
The gauge argument: A Noether Reason.Henrique Gomes, Bryan W. Roberts & Jeremy Butterfield - 2022 - In James Read & Nicholas J. Teh (eds.), The physics and philosophy of Noether's theorems. Cambridge: Cambridge University Press. pp. 354-377.

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