Abstract
We show that the topological B vector-product F term in 3+1 dimensions can be generated via spontaneous symmetry breaking in a generalized Abelian Higgs model. Further, we also show that even in D dimensions (D>or=3), a B vector-product F term gives rise to the topological massive excitations of the Abelian gauge field and that such a B vector-product F term can also be generated via the Higgs mechanism.