Abstract
The 2D RP 2 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 RP 2 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 RP 2 is controlled by the O(3) fixed point.
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