English

Faddeev-Jackiw quantization of four dimensional BF theory

Mathematical Physics 2016-11-23 v1 math.MP

Abstract

The symplectic analysis of a four dimensional BFBF 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.

Cite

@article{arxiv.1607.02206,
  title  = {Faddeev-Jackiw quantization of four dimensional BF theory},
  author = {Alberto Escalante and Prihel Cavildo-Sánchez},
  journal= {arXiv preprint arXiv:1607.02206},
  year   = {2016}
}
R2 v1 2026-06-22T14:48:47.780Z