Nonlinear σ-model, form factors and universality
نویسنده
چکیده
We report the results of a very high statistics Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear σ model. We find a significant discrepancy between the continuum extrapolation of our data and the form factor prediction of Balog and Niedermaier, inspired by the Zamolodchikovs’ S-matrix ansatz. On the other hand our results for the O(3) and the dodecahedron model are consistent with our earlier finding that the two models possess the same continuum limit. In a recent paper [1] we reported some striking numerical results: the continuum limit of the two dimensional (2D) O(3) nonlinear σ model seems to agree as well with the form factor prediction [2] inpired by Zamolodchikovs’ S-matrix as with the continuum limit of the dodecahedron spin model. The latter, known rigorously to possess a phase transition at nonzero temperature, is almost certainly not asymptotically free. Zamolodchikovs’ ansatz on the
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