17 citations · 74 across the 10 of their papers we have counts for
10 papers
-bein formalism for degenerate states in the parameter space of quantum geometry
Jorge Romero, Carlos A Velasquez, J David Vergara
Recently, we introduced a geometric object analogous to an orthonormal frame in the Cartan formalism to study the parameter space of quantum systems; we called it -bei…
Linking the ADM formulation to other Hamiltonian formulations of general relativity
Merced Montesinos, Jorge Romero
We obtain the Arnowitt-Deser-Misner formulation of general relativity in dimensions () from its either [] or Palatini Hamiltonian formula…
Fermions coupled to the Palatini action in dimensions
Jorge Romero, Merced Montesinos, Ricardo Escobedo
We study minimal and nonminimal couplings of fermions to the Palatini action in dimensions () from the Lagrangian and Hamiltonian viewpoints. The Lagrangian action con…
Hamiltonian analysis of fermions coupled to the Holst action
Jorge Romero, Merced Montesinos, Mariano Celada
We report three manifestly Lorentz-invariant Hamiltonian formulations of minimally and nonminimally coupled fermion fields to the Holst action. These formulations are achieved by m…
Canonical analysis of -dimensional Palatini action without second-class constraints
Merced Montesinos, Ricardo Escobedo, Jorge Romero +1
We carry out the canonical analysis of the -dimensional Palatini action with or without a cosmological constant introducing neither second-class constraints nor resor…
Canonical analysis of Holst action without second-class constraints
Merced Montesinos, Jorge Romero, Mariano Celada
We perform the canonical analysis of the Holst action for general relativity with a cosmological constant without introducing second-class constraints. Our approach consists in ide…
Revisiting the solution of the second-class constraints of the Holst action
Merced Montesinos, Jorge Romero, Mariano Celada
In this paper we revisit the nonmanifestly Lorentz-covariant canonical analysis of the Holst action with a cosmological constant. We take a viewpoint close to that of F. Cianfrani…
Barbero-like variables derived from Holst action
Merced Montesinos, Jorge Romero, Ricardo Escobedo +1
We work on a spacetime manifold foliated by timelike leaves. In this setting, we explore the solution of the second-class constraints arising during the canonical analysis of the H…
Manifestly Lorentz-covariant variables for the phase space of general relativity
Merced Montesinos, Jorge Romero, Mariano Celada
We present a manifestly Lorentz-covariant description of the phase space of general relativity with the Immirzi parameter. This formulation emerges after solving the second-class c…
Barbero's formulation from a -type action with the Immirzi parameter
Mariano Celada, Merced Montesinos, Jorge Romero
Starting from a constrained real -type action for general relativity that includes both the Immirzi parameter and the cosmological constant, we obtain the Ashtekar-Barbero vari…