When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a B∧F coupling and a kinetic term for B is included, the gauge field develops an effective mass. The theory can be made invariant under a non-abelian vector gauge symmetry by introducing an auxiliary vector field. The covariant quantization of this theory requires ghosts for ghosts. The resultant theory...

We introduce a notion of a non-Abelian loop gauge field defined on points in loop space. For this purpose we first find an infinite-dimensional tensor product representation of the Lie algebra which is particularly suited for fields on loop space. We define the non-Abelian Wilson surface as a ‘time’ ordered exponential in terms of this loop gauge field and show that it is reparametrization inva...