Monte-Carlo renormalization group study of gauged RP2 spin models in two dimensions

S. M. Catterall, M. Hasenbusch, R. R. Horgan, R. Renken

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

The 2D RP2 gauge model is studied using the Monte-Carlo Renormalization Group (MCRG). We confirm the first-order transition reported in [1] ending in a critical point associated with vorticity. We find evidence for a new renormalized trajectory (RT) which is responsible for a cross-over from the vortex dominated regime to the O(3) regime as the coupling is reduced. Near to the cross-over region a good signal for scaling will be observed in RP2 but this is illusory and is due to the proximity of the RT. We suggest that this is the origin of the 'pseudo'-scaling observed in [2]. We find that the continuum limit of RP2 is controlled by the O(3) fixed point.

Original languageEnglish (US)
Pages (from-to)670-672
Number of pages3
JournalNuclear Physics B - Proceedings Supplements
Volume63
Issue number1-3
DOIs
StatePublished - Apr 1998

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics

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