title: Conformal invariance of the 3D self-avoiding walk.
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.
authors.affiliation: Mathematics and Physics Departments, University of Arizona, Tucson, Arizona 85721, USA.
authors.forename: Tom
authors.initials: T
authors.lastname: Kennedy