Topological Entanglement of Polymers and Chern-Simons Field Theory

Details Topological Entanglement of Polymers and Chern-Simons Field Theory Topological Entanglement of Polymers and Chern-Simons Field Theory

1998-03-02

arxiv.org/abs/hep-th/9803008v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, corrected some typos, added two new references

Scientific paper

10.1088/0305-4470/32/8/005

In recent times some interesting field theoretical descriptions of the statistical mechanics of entangling polymers have been proposed by various authors. In these approaches, a single test polymer fluctuating in a background of static polymers or in a lattice of obstacles is considered. The extension to the case in which the configurations of two or more polymers become non-static is not straightforward unless their trajectories are severely constrained. In this paper we present another approach, based on Chern--Simons field theory, which is able to describe the topological entanglements of two fluctuating polymers in terms of gauge fields and second quantized replica fields.

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