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3+1 spinfoam model of quantum gravity with spacelike and timelike components
Alejandro Perez, Carlo Rovelli
We present a spinfoam formulation of Lorentzian quantum General Relativity. The theory is based on a simple generalization of an Euclidean model defined in terms of a field theory…
A generalized Hamiltonian Constraint Operator in Loop Quantum Gravity and its simplest Euclidean Matrix Elements
Marcus Gaul, Carlo Rovelli
We study a generalized version of the Hamiltonian constraint operator in nonperturbative loop quantum gravity. The generalization is based on admitting arbitrary irreducible SU(2)…
Spin foam model for Lorentzian General Relativity
Alejandro Perez, Carlo Rovelli
We present a spin foam formulation of Lorentzian quantum General Relativity. The theory is based on a simple generalization of an Euclidean model defined in terms of a field theory…
A spin foam model without bubble divergences
Alejandro Perez, Carlo Rovelli
We present a spin foam model in which the fundamental ``bubble amplitudes'' (the analog of the one-loop corrections in quantum field theory) are finite as the cutoff is removed. Th…
Spacetime as a Feynman diagram: the connection formulation
Michael P. Reisenberger, Carlo Rovelli
Spin foam models are the path integral counterparts to loop quantized canonical theories. In the last few years several spin foam models of gravity have been proposed, most of whic…
Statistical mechanics of generally covariant quantum theories: A Boltzmann-like approach
Merced Montesinos, Carlo Rovelli
We study the possibility of applying statistical mechanics to generally covariant quantum theories with a vanishing Hamiltonian. We show that (under certain appropiate conditions)…