On the Renormalization Group Explanation of Universality.

It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group (RG). 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...

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Publicado en:Philosophy of Science Vol. 85; no. 2; pp. 225 - 249
Autor principal: Franklin, Alexander
Formato: Artículo
Publicado: Cambridge University Press Apr2018
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Acceso en línea:Ver este registro en EBSCOhost
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        au: Franklin, Alexander
        affil: Philosophy Department, King's College London
      su:
        Renormalization group
        Probability theory
        Ising model
        Quantum field theory
        Statistical mechanics
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          Renormalization group
          Probability theory
          Ising model
          Quantum field theory
          Statistical mechanics
      ab: It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group (RG). 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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    language: English
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