Equivalence of gauge-invariant models for massive integer-spin fields

There are several approaches to formulate gauge-invariant models for massive integer-spin fields in d dimensions including the following: (i) in terms of symmetric tensor fields ϕμ1…μk, with k=s,s−1,…,0, restricted to be double traceless for k≥4; and (ii) in terms of a quartet of symmetric tensor fields ψμ1…μk, of rank k=s,s−1,s−2,s−3. We demonstrate that these formulations in Minkowski space Md are equivalent to the gauge-invariant theory for a massive integer-spin field proposed in 1989 by Pashnev. We also make use of the Klishevich-Zinoviev theory in Md to derive a unique generalization of the Singh-Hagen model for a massive integer-spin field in d>4 dimensions. Published by the American Physical Society 2024