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arXiv · hep-th/9803008

Topological Entanglement of Polymers and Chern-Simons Field Theory

Franco Ferrari·Ignazio Lazzizzera
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Abstract

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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Franco Ferrari, Ignazio Lazzizzera. 1998-04-25. Topological Entanglement of Polymers and Chern-Simons Field Theory. https://doi.org/10.1088/0305-4470%2F32%2F8%2F005

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