Self-Avoiding Walks with Writhe

Details Self-Avoiding Walks with Writhe Self-Avoiding Walks with Writhe

1997-05-08

arxiv.org/abs/cond-mat/9705066v2

Nucl.Phys. B506 (1997) 695-710

Physics

Condensed Matter

Statistical Mechanics

20 pages, LaTex. Requires epsf and psfig. One included eps file. Revision adds a reference

Scientific paper

We 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.

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