The wilson theory and the ginzburg critical region

D. J. Amit, D. J. Bergman, Y. Imry

Research output: Contribution to journalArticlepeer-review


The critical region around the true phase transition temperature is estimated for Ising-like models near d = 4 and for the same models with long (but finite) range interactions at arbitrary d. The results justify the use of the Ginzburg criterion for the critical region. The rapid and nonanalytic decrease towards zero of the size of the critical region as d → 4 from below is analysed and its consequences for the validity of the e-expansion are discussed.

Original languageEnglish
Pages (from-to)2685-2690
Number of pages6
JournalJournal of Physics C: Solid State Physics
Issue number17
StatePublished - 4 Sep 1973


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