Canonical and symplectic analysis for three dimensional gravity without dynamics
High Energy Physics - Theory
2017-04-05 v1 Mathematical Physics
math.MP
Abstract
In this paper a detailed Hamiltonian analysis of three-dimensional gravity without dynamics proposed by V. Hussain is performed. We report the complete structure of the constraints and the Dirac brackets are explicitly computed. In addition, the Faddeev-Jackiw symplectic approach is developed; we report the complete set of Faddeev-Jackiw constraints and the generalized brackets, then we show that the Dirac and the generalized Faddeev-Jackiw brackets coincide to each other. Finally, the similarities and advantages between Faddeev-Jackiw and Dirac's formalism are briefly discussed.
Keywords
Cite
@article{arxiv.1610.01646,
title = {Canonical and symplectic analysis for three dimensional gravity without dynamics},
author = {Alberto Escalante and H. H. Osmart Ochoa-Gutiérrez},
journal= {arXiv preprint arXiv:1610.01646},
year = {2017}
}