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Gauge (In)variance, Mass and Parity in D=3 Revisited

S. Deser
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Abstract

We analyze the degree of equivalence between abelian topologically massive, gauge-invariant, vector or tensor parity doublets and their explicitly massive, non-gauge, counterparts. We establish equivalence of field equations by exploiting a generalized Stueckelberg invariance of the gauge systems. Although the respective excitation spectra and induced source-source interactions are essentially identical, there are also differences, most dramatic being those between the Einstein limits of the interactions in the tensor case: the doublets avoid the discontinuity (well-known from D=4) exhibited by Pauli-Fierz theory.

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S. Deser. 1992-11-06. Gauge (In)variance, Mass and Parity in D=3 Revisited. https://arxiv.org/abs/gr-qc/9211010

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