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arXiv · hep-th/9709020

Faddeev-Jackiw Analysis of Topological Mass Generating Action

Chang-Yeong Lee·Dong Won Lee
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Abstract

We analyze the gauge symmetry of a topological mass generating action in four dimensions which contains both a vector and a second rank antisymmetric tensor fields. In the Abelian case, this system induces an effective mass for the vector gauge field via a topological coupling $B \wedge F$ in the presence of a kinetic term for the antisymmetric tensor field $B$, while maintaining a gauge symmetry. On the other hand, for the non-Abelian case the $B$ field does not have a gauge symmetry unless an auxiliary vector field is introduced to the system. We analyze this change of symmetry in the Faddeev-Jackiw formalism, and show how the auxiliary vector field enhances the symmetry. At the same time this enhanced gauge symmetry becomes reducible. We also show this phenomenon in this analysis.

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Chang-Yeong Lee, Dong Won Lee. 1998-03-25. Faddeev-Jackiw Analysis of Topological Mass Generating Action. https://doi.org/10.1088/0305-4470%2F31%2F38%2F016

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