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The path integral for Chern-Simons quantum mechanics

Silvio J. Rabello·Arvind N. Vaidya
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Abstract

The path integral representation for a system of N non-relativistic particles on the plane, interacting through a Chern-Simons gauge field, is obtained from the operator formalism. An effective interaction between the particles appears, generating the usual Aharonov-Bohm phases. The spin-statistics relation is also considered.

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Silvio J. Rabello, Arvind N. Vaidya. 1995-05-12. The path integral for Chern-Simons quantum mechanics. https://arxiv.org/abs/hep-th/9505072

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