NON-ABELIAN TOPOLOGICAL MASS GENERATION IN 4 DIMENSIONS

We study the topological mass generation in the 4 dimensional non-Abel ian gauge theory, which is the extension of Alien et al.'s work in the Abelian theory. 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 ( sic) F, where F is the field strength of A, makes the transmutation am ong A and B possible, and consequently we see that the gauge field bec omes massive. We find the BRST/anti-BRST transformation rule using the horizontality condition, and construct a BRST/anti-BRST invariant qua ntum action. (C) 1997 American Institute of Physics.