1995/07/07 by Martin Hasenbusch
Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #NMR spectroscopy and applications #Theoretical and Computational Physics #hep-lat
paper · pdf · doi:10.1103/physrevd.53.3445
published as Phys.Rev. D53 (1996) 3445-3450 · 14 pages (latex) + 1 figure (Postscript) ,uuencoded
arxiv created 1995/07/07 · openalex publication_date 1996/03/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
I provide evidence that the 2D RP^N\ensuremath-1 model for N>~3 is equivalent to the O(N)-invariant nonlinear \ensuremathσ model in the continuum limit. To this end, I mainly study particular versions of the models, to be called constraint models. I prove that the constraint RP^N\ensuremath-1 and O(N) models are equivalent for sufficiently weak coupling. Numerical results for the step-scaling function of the running coupling g2=m(L)L are presented. The data confirm that the constraint O(N) model is in the same universality class as the O(N) model with standard action. I show that in the weak coupling limit periodic boundary conditions for the RP^N\ensuremath-1 model correspond to fluctuating boundary conditions for the O(N) model. The effect of boundary conditions on finite size scaling curves is discussed. It is concluded, in contrast with Caracciolo et al., that RP^N\ensuremath-1 and O(N) models share a unique universality class.