A pure Dirac's canonical analysis for four-dimensional BF theories
Mathematical Physics
2013-03-20 v1 math.MP
Abstract
We perform Dirac's canonical analysis for a four-dimensional and for a generalized four-dimensional theory depending on a connection valued in the Lie algebra of SO(3,1). This analysis is developed by considering the corresponding complete set of variables that define these theories as dynamical, and we find out the relevant symmetries, the constraints, the extended Hamiltonian, the extended action, gauge transformations and the counting of physical degrees of freedom. The results obtained are compared with other approaches found in the literature.
Keywords
Cite
@article{arxiv.1107.4421,
title = {A pure Dirac's canonical analysis for four-dimensional BF theories},
author = {Alberto Escalante and I. Rubalcava-García},
journal= {arXiv preprint arXiv:1107.4421},
year = {2013}
}
Comments
Submitted to Journal of Physics A, Mathematical and Theoretical