Title
Monte-Carlo renormalization group study of gauged RP2 spin models in two dimensions
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.
Publication Date
1-1-1998
Publication Title
Nuclear Physics B - Proceedings Supplements
Volume
63
Issue
1-3
Number of Pages
670-672
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/S0920-5632(97)00867-0
Copyright Status
Unknown
Socpus ID
0032044146 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0032044146
STARS Citation
Catterall, S. M.; Hasenbusch, M.; and Horgan, R. R., "Monte-Carlo renormalization group study of gauged RP2 spin models in two dimensions" (1998). Scopus Export 1990s. 3363.
https://stars.library.ucf.edu/scopus1990/3363