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Self-Avoiding Walks with Writhe

J. David Moroz·Randall D. Kamien
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Abstract

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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J. David Moroz, Randall D. Kamien. 1997-05-11. Self-Avoiding Walks with Writhe. https://arxiv.org/abs/cond-mat/9705066

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