Topological mass generation in non-abelian gauge theory -- geometric BRST quantization approach
The author extends the topological mass mechanism in four dimensions to the non-Abelian case. In order to implement this generalization he makes use of the BRST formalism. By incorporating a one-form auxiliary field, the author extends the abelian action for topological mass generation in four dimensions to the non-Abelian case. This one-form auxiliary field is essential in constructing the gauge invariant kinetic action for the antisymmetric tensor field, and also in finding a consistent BRST/anti-BRST symmetry for the theory which contains one-form gauge and two-form antisymmetric tensor fields. As in the abelian case, the topological coupling \(mB\wedge F\), where \(F\) is the field strength of \(A\), makes the transmutation among \(A\) and \(B\) (\(B\) is the second rank antisymmetric tensor field) possible, and consequently one can see that the gauge field becomes massive. The BRST/anti-BRST transformation rule is found by means of the horizontality condition. The author also constructs a BRST/anti-BRST invariant quantum action.
scientific article; zbMATH DE number 1158207
scientific article