Asymptotic freedom with discrete spin variables?

2001/12/03 by Peter Hasenfratz, Hasenfratz, Peter, Ferenc Niedermayer +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0112003

5 pages, 4 figures

arxiv created 2001/12/03 · arxiv updated 2009/11/30

Abstract

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 ξ≈ 1000.

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• Quantum computation of mass gap in an asymptotically free theory

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