Faddeev-Jackiw quantization of four dimensional BF theory

Abstract

The symplectic analysis of a four dimensional $BF$ theory in the context of the Faddeev-Jackiw symplectic approach is performed. It is shown that this method is more economical than Dirac's formalism. In particular, the complete set of Faddeev-Jackiw constraints and the generalized Faddeev-Jackiw brackets are reported. In addition, we show that the generalized Faddeev-Jackiw brackets and the Dirac ones coincide to each other. Finally, the similarities and advantages between Faddeev-Jackiw method and Dirac's formalism are briefly discussed.

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• Canonical and symplectic analysis for three dimensional gravity without dynamics
• Barcelos-Wotzasek symplectic algorithm for constrained systems revisited
• Faddeev-Jackiw Approach to Classical Constrained Systems