Topological mass generation in non-Abelian gauge theory—geometric BRST quantization approach

We study the topological mass generation mechanism in non-Abelian gauge theory in four dimensions. It is crucial to introduce a one-form auxiliary field in constructing the gauge invariant non-Abelian action which contains both the one-form vector gauge field A and the two-form antisymmetric tensor field B. As in the abelian case, the topological coupling mB Λ F, where F is the field strength of A, makes the transmutation among A and B possible, and consequently we see that the gauge field becomes massive. We find the BRST/anti-BRST transformation rule using the horizontality condition, and construct a BRST/anti-BRST invariant quantum action.