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Loop Quantum Gravity
Carlo Rovelli
The problem of finding the quantum theory of the gravitational field, and thus understanding what is quantum spacetime, is still open. One of the most active of the current approac…
Gravity from Dirac Eigenvalues
Giovanni Landi, Carlo Rovelli
We study a formulation of euclidean general relativity in which the dynamical variables are given by a sequence of real numbers , representing the eigenvalues of the Dirac o…
The Immirzi parameter in quantum general relativity
Carlo Rovelli, Thomas Thiemann
Barbero has generalized the Ashtekar canonical transformation to a one-parameter scale transformation on the phase space of general relativity. Immirzi has noticed that in l…
Matrix Elements of Thiemann's Hamiltonian Constraint in Loop Quantum Gravity
Roumen Borissov, Roberto De Pietri, Carlo Rovelli
We present an explicit computation of matrix elements of the hamiltonian constraint operator in non-perturbative quantum gravity. In particular, we consider the euclidean term of T…