Nonabelian Topological Mass Generation in 4 Dimensions

We study the topological mass generation in the 4 dimensional nonabelian gauge theory, which is the extension of the Allen et al.’s work in the abelian theory. It is crucial to introduce a one form auxiliary field in constructing the gauge invariant nonabelian 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 ∧ 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. PACS codes: 11.10.-z, 11.15.-q, 12.90.+b