The Hamilton-Jacobi analysis and Canonical Covariant scheme for three dimensional Palatini theory plus a Chern-Simons term
Escalante, Alberto ; Pantoja, Aldair
arXiv, 1905.07637 / Harvested from arXiv
Text on arXiv
The three dimensional Palatini theory plus a Chern-Simons term [PCS] is analyzed by using the Hamilton-Jacobi [HJ] framework. We report the complete set of $HJ$ Hamiltonians and a generalized $HJ$ differential from which all symmetries of the theory are identified. Moreover, we show that in spite of PCS Lagrangian produces Einstein's equations, the generalized $HJ$ brackets depend on a Barbero-Immirzi like parameter. In addition we complete our study by performing a canonical covariant analysis, and we construct a closed and gauge invariant two form that encodes the symplectic geometry of the covariant phase space.
Publié le : 2019-05-18
Classification:  Mathematical Physics 
@article{1905.07637,
     author = {Escalante, Alberto and Pantoja, Aldair},
     title = {The Hamilton-Jacobi analysis and Canonical Covariant scheme for three
  dimensional Palatini theory plus a Chern-Simons term},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1905.07637}
}

Escalante, Alberto; Pantoja, Aldair. The Hamilton-Jacobi analysis and Canonical Covariant scheme for three
  dimensional Palatini theory plus a Chern-Simons term. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1905.07637/