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

Sourendu Gupta, A. Irbäck, B. Petersson, R. V. Gavai, F. Karsch

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)263-284
Number of pages22
JournalNuclear Physics, Section B
Volume329
Issue number1
DOIs
Publication statusPublished - 1990 Jan 1
Externally publishedYes

Subject classification (UKÄ)

  • Other Physics Topics

Fingerprint

Dive into the research topics of 'The correlation lengths and the order of the phase transition in three-dimensional Z 3 symmetric models'. Together they form a unique fingerprint.

Cite this