Abstract
In this paper we quantize the massive abelian p-form gauge fields in D dimensions in the context of the Hamiltonian BRST formalism. Extending the original phase-space in order to reveal the reducibility of a certain first-class system, we obtain that quantizing the original theory is the same as quantizing a (p - 1)-order reducible system using BRST. This system describes abelian p-form gauge fields interacting through a current - current term with abelian (p - 1)-form gauge fields. For p = 1 and D = 4 we recover the Stueckelberg coupling.
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