A rigorous control of logarithmic corrections in four-dimensional ϕ4 spin systems - II. Critical behavior of susceptibility and correlation length

Takashi Hara, Hal Tasaki

研究成果: Contribution to journalArticle査読

35 被引用数 (Scopus)

抄録

Continuing the analysis started in Part I of this work, we investigate critical phenomena in weakly coupled φ{symbol}4 spin systems in four dimensions. Concerning the critical behavior of the susceptibility and the correlation length (in the high-temperature phase), the existence of logarithmic corrections to their mean field type behavior is rigorously shown (i.e., we prove χ(t)~t- 1 |ln t|1/3, ξ(t)~t-1/2|ln t}|1/6).

本文言語英語
ページ(範囲)99-121
ページ数23
ジャーナルJournal of Statistical Physics
47
1-2
DOI
出版ステータス出版済み - 4 1987
外部発表はい

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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