Dirac's and Generalized Faddeev-Jackiw brackets for Einstein's theory in G $\to 0$ limit

Abstract

In this paper the Dirac and Faddeev-Jackiw formulation for Einstein's theory in the $G\to 0$ limit is performed; the fundamental Dirac's and Faddeev-Jackiw brackets for the theory are obtained. First, the Dirac brackets are constructed by eliminating the second class constraints remaining the first class ones, then we fix the gauge and we convert the first class constraints into second class constraints and the new fundamental Dirac's brackets are computed. Alternatively, we reproduce all relevant Dirac's results by means of the symplectic method. We identify the Faddeev-Jackiw constraints and we prove that the Dirac and the Faddeev-Jackiw brackets coincide to each other. .

References in corpus (7)

• Canonical structure of topologically massive gravity with a cosmological constant
• Gauge invariances vis-{á}-vis Diffeomorphisms in second order metric gravity: A new Hamiltonian approach
• Hamiltonian study for Chern-Simons and Pontryagin theories
• Duality through the symplectic embedding formalism
• Hamiltonian dynamics of extended objects: Regge-Teitelboim model
• The dual embedding method in D=3
• Hamiltonian dynamics of 5D Kalb-Ramond theories with a compact dimension

Cited by in corpus (1)

• On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity