Nonabelian Topological Mass Generation in 4 Dimensions

Details Nonabelian Topological Mass Generation in 4 Dimensions Nonabelian Topological Mass Generation in 4 Dimensions

1995-12-29

arxiv.org/abs/hep-th/9512216v1

J.Math.Phys. 38 (1997) 30-38

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX file

Scientific paper

10.1063/1.532005

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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