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

D. M. Medeiros·R. R. Landim·C. A. S. Almeida
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Abstract

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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D. M. Medeiros, R. R. Landim, C. A. S. Almeida. 2001-03-22. Mass generation for non-Abelian antisymmetric tensor fields in a three-dimensional space-time. https://doi.org/10.1103/physrevd.63.127702

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