Nonlinear sigma model, form-factors and universality

Sep, 1998
10 pages
Published in:
  • Phys.Lett.B 445 (1998) 160-164
e-Print:
Report number:
  • AZPH-TH-98-07,
  • MPI-PHT-98-40

Citations per year

19982000200220042004130
Abstract:
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\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.
Note:
  • 10 pages, 5 figures
  • sigma model: nonlinear
  • symmetry: O(3)
  • form factor
  • universality
  • lattice field theory
  • dimension: 2
  • model: spin
  • continuum limit
  • numerical calculations: Monte Carlo