24 citations · 53 across the 5 of their papers we have counts for
7 papers · 1 filter
The theta parameter in loop quantum gravity: effects on quantum geometry and black hole entropy
Danilo Jimenez Rezende, Alejandro Perez
The precise analog of the theta-quantization ambiguity of Yang-Mills theory exists for the real SU(2) connection formulation of general relativity. As in the former case theta labe…
Two-dimensional topological field theories coupled to four-dimensional BF theory
Merced Montesinos, Alejandro Perez
Four dimensional BF theory admits a natural coupling to extended sources supported on two dimensional surfaces or string world-sheets. Solutions of the theory are in one to one cor…
Extended matter coupled to BF theory
Winston J. Fairbairn, Alejandro Perez
Recently, a topological field theory of membrane-matter coupled to BF theory in arbitrary spacetime dimensions was proposed [1]. In this paper, we discuss various aspects of the fo…
Multiple-event probability in general-relativistic quantum mechanics: a discrete model
Mauricio Mondragon, Alejandro Perez, Carlo Rovelli
We introduce a simple quantum mechanical model in which time and space are discrete and periodic. These features avoid the complications related to continuous-spectrum operators an…
A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity
Louis Crane, Alejandro Perez, Carlo Rovelli
We show that the normalized Lorentzian state sum is finite on any triangulation. It thus provides a candidate for a perturbatively finite quantum theory of general relativity in fo…
2d manifold-independent spinfoam theory
Etera R. Livine, Alejandro Perez, Carlo Rovelli
A number of background independent quantizations procedures have recently been employed in 4d nonperturbative quantum gravity. We investigate and illustrate these techniques and th…