5 citations · 6 across the 6 of their papers we have counts for
6 papers
Gauge-Unfixed Hamiltonian Casimir and Static Torsionful Sector in the Katanaev-Volovich Model
J. Manuel-Cabrera, J. M. Paulin-Fuentes
Hamiltonian analysis of the first-order Katanaev-Volovich model of two-dimensional gravity with torsion. The first-order action already singles out natural canonical pairs: the aux…
Matrix bordering structure of the Faddeev-Jackiw algorithm: kernel reduction and symbolic automation
E. Chan-López, A. Martín-Ruiz, Jaime Manuel Cabrera +1
We show that the iterative Faddeev-Jackiw (FJ) reduction for singular Lagrangian systems constitutes a geometrically constrained instance of the Matrix Bordering Technique (MBT). S…
Hamiltonian analysis and Faddeev-Jackiw formalism for two-Dimensional Quadratic Gravity expressed as BF theory
Jaime Manuel Cabrera, Jorge Mauricio Paulin Fuentes
We examine the model of Two-Dimensional Quadratic Gravity as a consequence of symmetry breaking within the framework of background field (BF) theory. This theory is essentially an…
Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
Jorge Paulin Fuente, Carlos Manuel López Arellano, Jaime Manuel Cabrera
Classical mechanical systems with internal constraints will be examined using the extended symplectic formalism of Faddeev-Jackiw. We will derive the generalized brackets of the th…
Faddeev-Jackiw and Canonical Analysis of the Jackiw-Teitelboim model written as a BF theory
Jaime Manuel Cabrera
The Jackiw-Teitelboim model written as a BF theory in two dimensions is analyzed by using the Dirac's and Faddeev-Jackiw formalism. The analysis consists in finding the full struct…
Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter
Alberto Escalante, Jaime Manuel Cabrera
A detailed Dirac's and Faddeev-Jackiw quantization of Bonzom-Livine model describing gravity in three dimensions is performed. The full structure of the constraints, the gauge tran…