Hamiltonian dynamics of an exotic action for gravity in three dimensions
arXiv:1310.3726 · doi:10.1016/j.aop.2014.01.010
Abstract
The Hamiltonian dynamics and the canonical covariant formalism for an exotic action in three dimensions are performed. By working with the complete phase space, we report a complete Hamiltonian description of the theory such as the extended action, the extended Hamiltonian, the algebra among the constraints, the Dirac's brackets and the correct gauge transformations. In addition, we show that in spite of exotic action and tetrad gravity with a cosmological constant give rise to the same equations of motion, they are not equivalent, in fact, we show that their corresponding Dirac's brackets are quite different. Finally, we construct a gauge invariant symplectic form which in turn represents a complete Hamiltonian description of the covariant phase space.
submitted to Annals of Physics
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- Faddeev-Jackiw quantization of four dimensional BF theory
- Canonical and symplectic analysis for three dimensional gravity without dynamics
- Hamilton-Jacobi analysis for three dimensional gravity without dynamics