80 citations · 243 across the 20 of their papers we have counts for
20 papers
From loop quantum gravity to cosmology: the two-vertex model
Álvaro Cendal, Iñaki Garay, Luis J. Garay
We study the notion of volume and its dynamics in the loop-quantum-gravity truncation known as the two-vertex model. We also show that its U(N)-symmetry reduction provides the old…
On the tensorial structure of general covariant quantum systems
Gabriel M. Carral, Iñaki Garay, Francesca Vidotto
The definition of a quantum system requires a Hilbert space, a way to define the dynamics, and an algebra of observables. The structure of the observable algebra is related to a te…
Classical dynamics for Loop Gravity: The 2-vertex model
Eneko Aranguren, Iñaki Garay, Etera R. Livine
The study of toy models in loop quantum gravity (LQG), defined as truncations of the full theory, is relevant to both the development of the LQG phenomenology, in cosmology and ast…
Classical geodesics from the canonical quantisation of spacetime coordinates
Iñaki Garay, Salvador Robles-Pérez
A canonical quantisation of the coordinates of the spacetime within the general relativity theory is proposed. This quantisation will depend on the observer but it provides an inte…
Hamiltonian formalism and constraint analysis of three-form matter models coupled with general relativity
David Brizuela, Iñaki Garay
A Hamiltonian analysis of models given by a three-form field with a generic potential coupled to general relativity in four dimensions is performed. This kind of fields are natural…
Quantum behavior of the "Little Sibling" of the Big Rip induced by a three-form field
Mariam Bouhmadi-López, David Brizuela, Iñaki Garay
A canonical quantization à la Wheeler-DeWitt is performed for a model of three-form fields in a homogeneous and isotropic universe. We start by carrying out the Hamiltonian formali…