61 citations · 236 across the 19 of their papers we have counts for
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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…
Noether's theorem, the stress-energy tensor and Hamiltonian constraints
M. Leclerc
Noether's theorem is reviewed with a particular focus on an intermediate step between global and local gauge and coordinate transformations, namely linear transformations. We reder…
Generally covariant quantization and the Dirac field
M. Leclerc
Canonical Hamiltonian field theory in curved spacetime is formulated in a manifestly covariant way. Second quantization is achieved invoking a correspondence principle between the…
Geodesic deviation and gravitational waves
M. Leclerc
The detection of gravitational waves based on the geodesic deviation equation is discussed. In particular, it is shown that the only non-vanishing components of the wave field in t…
Hermitian Dirac Hamiltonian in time dependent gravitational field
M. Leclerc
It is shown by a straightforward argument that the Hamiltonian generating the time evolution of the Dirac wave function in relativistic quantum mechanics is not hermitian with resp…
Intrinsic momentum in Poincare gauge theory
M. Leclerc
While it is generally accepted, in the framework of Poincare gauge theory, that the Lorentz connection couples minimally to spinor fields, there is no general agreement on the coup…
Canonical and gravitational stress-energy tensors
M. Leclerc
It is dealt with the question, under which circumstances the canonical Noether stress-energy tensor is equivalent to the gravitational (Hilbert) tensor for general matter fields un…
One-parameter teleparallel limit of Poincare gravity
M. Leclerc
Poincare gauge theories that, in the absence of spinning matter, reduce to the one-parameter teleparallel theory are investigated with respect to their mathematical consistency and…
Second order formalism in Poincare gauge theory
M. Leclerc
Changing the set of independent variables of Poincare gauge theory and considering, in a manner similar to the second order formalism of general relativity, the Riemannian part of…
Mathisson-Papapetrou equations in metric and gauge theories of gravity in a Lagrangian formulation
M. Leclerc
We present a simple method to derive the semiclassical equations of motion for a spinning particle in a gravitational field. We investigate the cases of classical, rotating particl…
The Higgs sector of gravitational gauge theories
M. Leclerc
Gravitational gauge theories with de Sitter, Poincare and affine symmetry group are investigated under the aspect of the breakdown of the initial symmetry group down to the Lorentz…
On the teleparallel limit of Poincare gauge theory
M. Leclerc
We will address the question of the consistency of teleparallel theories in presence of spinning matter which has been a controversial subject of discussion over the last twenty ye…
Variable Mass Theories of Gravity
M. Leclerc
Several attempts to construct theories of gravity with variable mass are considered. The theoretical impacts of allowing the rest mass to vary with respect to time or an appropriat…
Gravitation in Flat Spacetime
H. Goenner, M. Leclerc
A special-relativistic scalar-vector theory of gravitation is presented which mimics an important class of solutions of Einstein's gravitational field equations. The theory include…