Hamiltonian dynamics of an exotic action for gravity in three dimensions
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. -- Highlights: •We report a detailed Hamiltonian analysis for an exotic action of gravity. •We show that Palatini and exotic actions are not equivalent. •The exotic action is a non-commutative theory. •The fundamental gauge transformations of the theory are Λ-deformed Poincaré transformations. •A Lorentz and gauge invariant symplectic two-form is constructed.
- OSTI ID:
- 22314784
- Journal Information:
- Annals of Physics (New York), Vol. 343, Issue Complete; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
Similar Records
Faddeev–Jackiw quantization of an Abelian and non-Abelian exotic action for gravity in three dimensions
Spinor matter fields in SL(2,C) gauge theories of gravity: Lagrangian and Hamiltonian approaches