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On the infrared limit of the Chern-Simons-Proca theory

A. J. Niemi·V. V. Sreedhar
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Abstract

We investigate a modification of the 2+1 dimensional abelian Chern-Simons theory, obtained by adding a Proca mass term to the gauge field. We are particularly interested in the infrared limit, which can be described by two {\it a priori} different "topological" quantum mechanical models. We apply methods of equivariant cohomology and the ensuing supersymmetry to analyze the partition functions of these quantum mechanical models. In particular, we find that a previously discussed phase-space reductive limiting procedure which relates these two models can be seen as a direct consequence of our supersymmetry.

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A. J. Niemi, V. V. Sreedhar. 1994-07-12. On the infrared limit of the Chern-Simons-Proca theory. https://doi.org/10.1016/0370-2693(94)00949-x

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