Duality and Massive Gauge Invariant Theories

Details Duality and Massive Gauge Invariant Theories Duality and Massive Gauge Invariant Theories

1996-04-30

arxiv.org/abs/hep-th/9604181v1

Phys.Rev. D57 (1998) 3794

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, no figures

Scientific paper

10.1103/PhysRevD.57.3794

Two different massive gauge invariant spin-one theories in $3+1$ dimensions, one Stuckelberg formulation and the other `$B^{\wedge}F$' theory, with Kalb-Ramond field are shown to be related by duality. This is demonstrated by gauging the global symmetry in the model and constraining the corresponding dual field strength to be zero by a Lagrange multiplier, which becomes a field in the dual theory. Implication of this equivalence to the $5$ dimensional theories from which these theories can be obtained is discussed. The self-dual Deser-Jackiw model in $2+1$ dimensions, is also shown to result by applying this procedure to Maxwell-Chern-Simon theory.

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