28 citations · 28 across the 1 of their papers we have counts for
13 papers · 1 filter
From 3-geometry transition amplitudes to graviton states
Federico Mattei, Carlo Rovelli, Simone Speziale +1
In various background independent approaches, quantum gravity is defined in terms of a field propagation kernel: a sum over paths interpreted as a transition amplitude between 3-ge…
A note on the foundation of relativistic mechanics. II: Covariant hamiltonian general relativity
Carlo Rovelli
I illustrate a simple hamiltonian formulation of general relativity, derived from the work of Esposito, Gionti and Stornaiolo, which is manifestly 4d generally covariant and is def…
A note on the foundation of relativistic mechanics. I: Relativistic observables and relativistic states
Carlo Rovelli
Is there a version of the notions of "state" and "observable" wide enough to apply naturally and in a covariant manner to relativistic systems? I discuss here a tentative answer.
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…
Length versus time-interval discreteness in 2+1 Lorentzian canonical quantum gravity
Richard Livine, Carlo Rovelli
Paper withdrawn. Replaced by by gr-qc/0212077 .