1993/07/31 by Sergio Caracciolo, Robert G. Edwards, Andrea Pelissetto +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #hep-lat
paper · pdf · doi:10.1103/physrevlett.71.3906
published as Phys.Rev.Lett. 71 (1993) 3906-3909 · 10 pages (includes 2 figures), 211176 bytes Postscript, NYU-TH-93/07/03, IFUP-TH 34/93
arxiv created 1993/07/31 · openalex publication_date 1993/12/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We argue that the two-dimensional O(N)-invariant lattice \ensuremathσ-model with mixed isovector-isotensor action has a one-parameter family of nontrivial continuum limits, only one of which is the continuum \ensuremathσ-model constructed by conventional perturbation theory. We test the proposed scenario with a high-precision Monte Carlo simulation for N=3,4 on lattices up to 512\ifmmode×\else\texttimes\fi512, using a Wolff-type embedding algorithm. The finite-size-scaling data confirm the existence of the predicted new family of continuum limits. In particular, the RP^N\mathrm\ensuremath-1 and N-vector models do not lie in the same universality class.