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arXiv · hep-th/9512216

Nonabelian Topological Mass Generation in 4 Dimensions

Dae Sung Hwang·Chang-Yeong Lee
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Abstract

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 $m B\wedge F$, 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.

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Dae Sung Hwang, Chang-Yeong Lee. 1995-12-29. Nonabelian Topological Mass Generation in 4 Dimensions. https://doi.org/10.1063/1.532005

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