Nonlinear $σ$-model, form factors and universality

Details Nonlinear $σ$-model, form factors and universality Nonlinear $σ$-model, form factors and universality

1998-09-21

arxiv.org/abs/hep-th/9809154v1

Phys.Lett. B445 (1998) 160-164

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 5 figures

Scientific paper

10.1016/S0370-2693(98)01425-7

We report the results of a very high statistics Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear $\sigma$ 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.

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