108 citations · 195 across the 11 of their papers we have counts for
8 papers · 1 filter
On the distribution of the eigenvalues of the area operator in loop quantum gravity
J. Fernando Barbero, Juan Margalef-Bentabol, Eduardo J. S. Villaseñor
We study the distribution of the eigenvalues of the area operator in loop quantum gravity concentrating on the part of the spectrum relevant for isolated horizons. We first show th…
Boundary Hilbert spaces and trace operators
J. Fernando G. Barbero, Benito A. Juárez-Aubry, Juan Margalef-Bentabol +1
We discuss the introduction of boundary Hilbert spaces for a class of physical systems for which it is not possible to factor their state spaces as tensor products of Hilbert space…
Functional evolution of scalar fields in bounded one-dimensional regions
J. Fernando G. Barbero, Juan Margalef-Bentabol, Eduardo J. S. Villaseñor
We discuss the unitarity of the quantum evolution between arbitrary Cauchy surfaces of a 1+1 dimensional free scalar field defined on a bounded spatial region and subject to severa…
Hamiltonian description of the parametrized scalar field in bounded spatial regions
J. Fernando Barbero, Juan Margalef-Bentabol, Eduardo J. S. Villaseñor
We study the Hamiltonian formulation for a parametrized scalar field in a regular bounded spatial region subject to Dirichlet, Neumann and Robin boundary conditions. We generalize…
Band structure in the polymer quantization of the harmonic oscillator
J. Fernando Barbero G., Jorge Prieto, Eduardo J. S. Villaseñor
We discuss the detailed structure of the spectrum of the Hamiltonian for the polymerized harmonic oscillator and compare it with the spectrum in the standard quantization. As we wi…
The Coupling of Shape Dynamics to Matter
Henrique Gomes
Shape Dynamics (SD) is a theory dynamically equivalent to vacuum General Relativity (GR), which has a different set of symmetries. It trades refoliation invariance, present in GR,…
Black hole state counting in Loop Quantum Gravity: A number theoretical approach
Ivan Agullo, J. Fernando Barbero G., Jacobo Diaz-Polo +2
We give a practical method to exactly compute black hole entropy in the framework of Loop Quantum Gravity. Along the way we provide a complete characterization of the relevant sect…
Asymptotics of Regulated Field Commutators for Einstein-Rosen Waves
J. Fernando Barbero G., Guillermo A. Mena Marugán, Eduardo J. S. Villaseñor
We discuss the asymptotic behavior of regulated field commutators for linearly polarized, cylindrically symmetric gravitational waves and the mathematical techniques needed for thi…