Renormalizability of the dynamical two-form - art. no. 105002

A proof of renormalizability of the theory of the dynamical non-Abelian two -form is given using the Zinn-Justin equation. Two previously unknown symme tries of the quantum action, different from the BRST symmetry, are needed f or the proof. One of these is a gauge fermion dependent nilpotent symmetry, while the other mixes different fields with the same transformation proper ties. The BRST symmetry itself is extended to include a shift transformatio n by use of an anticommuting constant. These three symmetries restrict the form of the quantum action up to arbitrary order in perturbation theory. Th e results show that it is possible to have a renormalizable theory of massi ve vector bosons in four dimensions without a residual Higgs boson.