Asymptotic freedom with discrete spin variables?

Details Asymptotic freedom with discrete spin variables? Asymptotic freedom with discrete spin variables?

2001-12-03

arxiv.org/abs/hep-lat/0112003v1

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 4 figures

Scientific paper

We study the critical behaviour of the 2d dodecahedron spin model and
investigate the conjecture that the discrete model describes the same continuum
theory as the O(3) non-linear sigma model. In particular, we found that the
anisotropy of the magnetization A(z) measured in a fixed physical volume
decreases with increasing correlation length, at least up to \xi \approx 1000.

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