  We develop a BRST symmetric gaugeon formalism for the Abelian rank-2
antisymmetric tensor field in the Lorentz breaking framework. The Lorentz
breaking is achieved here by considering a proper subgroup of Lorentz group
together with translation. In this scenario, the gaugeon fields together with
the standard fields of the Abelian rank-2 antisymmetric tensor theory get mass.
In order to develop the gaugeon formulation for this theory in VSR, we first
introduce a set of dipole vector fields as a quantum gauge freedom to the
action. In order to quantize the dipole vector fields, the VSR-modified
gauge-fixing and corresponding ghost action are constructed as the classical
action is invariant under a VSR-modified gauge transformation. Further, we
present a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensor
field theory in VSR. The gauge structures of Fock space constructed with the
help of BRST charges are also discussed.
