The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models

Research output: Contribution to journalArticle


We present a high statistics Monte Carlo investigation of three-dimensional Z 3 symmetric models, which are related to SU(3) pure gauge theory at finite temperature. From the finite size scaling behaviour of bulk properties and the existence of metastable states, we conclude that these models exhibit a first-order phase transition. We have also performed detailed correlation length measurements in a cylindrical geometry with periodic boundary conditions as well as with a cold wall in the longitudinal direction. The correlation length, which appears to be independent of the boundary conditions, becomes very large near the critical point. Nonetheless, our data suggest that the correlation length developes a discontinuity at the critical point in the infinite volume limit.


  • Sourendu Gupta
  • A. Irbäck
  • B. Petersson
  • R. V. Gavai
  • F. Karsch
External organisations
  • Bielefeld University
  • CERN
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Other Physics Topics
Original languageEnglish
Pages (from-to)263-284
Number of pages22
JournalNuclear Physics, Section B
Issue number1
Publication statusPublished - 1990 Jan 1
Publication categoryResearch
Externally publishedYes