Mass generation for non-Abelian antisymmetric tensor fields in a three-dimensional space-time

Details Mass generation for non-Abelian antisymmetric tensor fields in a three-dimensional space-time Mass generation for non-Abelian antisymmetric tensor fields in a three-dimensional space-time

2001-03-22

arxiv.org/abs/hep-th/0103185v1

Phys.Rev. D63 (2001) 127702

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. To appear in Physical Review D

Scientific paper

10.1103/PhysRevD.63.127702

Starting from a recently proposed Abelian topological model in (2+1) dimensions, which involve the Kalb-Ramond two form field, we study a non-Abelian generalization of the model. An obstruction for generalization is detected. However we show that the goal is achieved if we introduce a vectorial auxiliary field. Consequently, a model is proposed, exhibiting a non-Abelian topological mass generation mechanism in D=3, that provides mass for the Kalb-Ramond field. The covariant quantization of this model requires ghosts for ghosts. Therefore in order to quantize the theory we construct a complete set of BRST and anti-BRST equations using the horizontality condition.

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