2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148717We map self-avoiding random walks with a chemical potential for writhe to the three-dimensional complex O(N) Chern-Simons theory as N -> 0. We argue that at the Wilson-Fisher fixed point which characterizes normal self-avoiding walks (with radius of gyration exponent nu = 0.588) a small chemical potential for writhe is irrelevant and the Chern-Simons field does not modify the monomer- monomer correlation function. For a large chemical potential the polymer collapses.20 pages, LaTex. Requires epsf and psfig. One included eps file. Revision adds a referenceStatistical MechanicsSoft Condensed MatterHigh Energy Physics - Theorytext