Resummation of the 1n expansion through a self-consistent approach

I. Kondor, T. Temesvri, L. Herényi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Bray's self-consistent screening approximation for calculating critical exponents is extended to higher orders, resulting in a scheme equivalent to a resummation of the 1n expansion. While the integration techniques borrowed from conformal invariant field theory reduce the task of evaluating Feynman integrals appearing in this scheme to about the level of a straight 1n calculation, the second-order results obtained here for critical exponents as functions of the order-parameter dimensionality n and space dimensionality d are definitely superior to those of a direct 1n calculation and produce acceptable estimates down to about n1-2 for d=3.

Original languageEnglish
Pages (from-to)1451-1458
Number of pages8
JournalPhysical Review B
Volume22
Issue number3
DOIs
Publication statusPublished - Jan 1 1980

ASJC Scopus subject areas

  • Condensed Matter Physics

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