Conformal invariance of the 3D self-avoiding walk

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5 Scopus citations


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.

Original languageEnglish (US)
Article number165703
JournalPhysical review letters
Issue number16
StatePublished - Oct 18 2013

ASJC Scopus subject areas

  • General Physics and Astronomy


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