FADDEEV-JACKIW ANALYSIS OF TOPOLOGICAL MASS-GENERATING ACTION

We analyse the gauge symmetry of a topological mass-generating action in four dimensions which contains both a vector and a second-rank anti symmetric tensor fields. in the Abelian case, this system induces an e ffective mass for the vector gauge field via a topological coupling B Lambda F in the presence of a kinetic term for the antisymmetric tenso r field B, while maintaining a gauge symmetry. On the other hand, for the non-Abelian case the B field does not have a gauge symmetry unless an auxiliary vector field is introduced to the system. We analyse thi s change of symmetry in the Faddeev-Jackiw formalism, and show how the auxiliary vector field enhances the symmetry. At the same time this e nhanced gauge symmetry becomes reducible. We also show this phenomenon in this analysis.