61 citations · 236 across the 19 of their papers we have counts for
19 papers
The hyperbolic formal affine Demazure algebra
Marc-Antoine Leclerc
In the present paper we extend the construction of the formal (affine) Demazure algebra due to Hoffnung, Malagón-López, Savage and Zainoulline in two directions. First, we introduc…
Poisson Bracket for Fermion Fields: Correspondence Principle, Second Class Constraints and Hamilton-Jacobi equation
M. Leclerc
We introduce a symmetric Poisson bracket that allows us to describe anticommuting fields on a classical level in the same way as commuting fields, without the use of Grassmann vari…
Gauge invariance of the wave functional in mixed momentum/coordinate representations
M. Leclerc
Starting from the observation that in Yang-Mills theory the Schroedinger state functional in the momentum representation is not gauge invariant, we investigate the reversed questio…
Hamiltonian reduction of spin-two theory and of solvable cosmologies
M. Leclerc
The Hamiltonian reduction of the massless spin-two field theory is carried out following the Faddeev-Jackiw approach. The reduced Hamiltonian contains only the traceless-transverse…
Faddeev-Jackiw quantization of spin-2 field
M. Leclerc
We apply the Faddeev-Jackiw method to the Hamiltonian analysis of the massless spin-two field. As expected, the reduced Hamiltonian contains only the traceless-transverse tensor, w…
Modified Ostrogradski formulation of field theory
M. Leclerc
We present a method for the Hamiltonian formulation of field theories that are based on Lagrangians containing second derivatives. The new feature of our formalism is that all four…