Conformal invariance of the 3D self-avoiding walk
Mathematical Physics
2015-06-17 v1 math.MP
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Abstract
We show that if the three dimensional self-avoiding walk (SAW) is conformally invariant, then one can compute the hitting densities for the SAW in a half space and in a sphere. We test these predictions by Monte Carlo simulations and find excellent agreement, thus providing evidence that the SAW is conformally invariant in three dimensions.
Cite
@article{arxiv.1310.6979,
title = {Conformal invariance of the 3D self-avoiding walk},
author = {Tom Kennedy},
journal= {arXiv preprint arXiv:1310.6979},
year = {2015}
}
Comments
4 pages, 2 figures