On the Renormalization Group Explanation of Universality

Philosophy of Science 85 (2):225-248 (2018)
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It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches ought to be distinguished: while the field-theoretic approach explains universality, the real-space approach fails to provide an adequate explanation.

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Alexander Franklin
King's College London

Citations of this work

Emergence without limits: The case of phonons.Alexander Franklin & Eleanor Knox - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 64:68-78.
Whence the Effectiveness of Effective Field Theories?Alexander Franklin - 2018 - British Journal for the Philosophy of Science 71 (4):1235-1259.
Universality and RG Explanations.Robert W. Batterman - 2019 - Perspectives on Science 27 (1):26-47.

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References found in this work

Review of Woodward, Making Things Happen. [REVIEW]Michael Strevens - 2007 - Philosophy and Phenomenological Research 74 (1):233-249.
Minimal Model Explanations.Robert W. Batterman & Collin C. Rice - 2014 - Philosophy of Science 81 (3):349-376.

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