A low temperature expansion for classical N-vector models. II. Renormalization group equations

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Abstract

This paper continues the analysis of the low temperature expansions for classical N-vector models started in [1]. A main part of it is a derivation of renormalization group equations and a construction of their solutions. To do this we have to introduce "a fluctuation integral" connected with a next renormalization transformation, and to make its preliminary analysis. The results of the paper are summarized in theorems stating that the renormalization transformation preserves the space of densitites, or actions described inductively in [1].

Original languageEnglish (US)
Pages (from-to)675-721
Number of pages47
JournalCommunications In Mathematical Physics
Volume182
Issue number3
DOIs
StatePublished - Jan 1 1996

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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