2.2k citations · 7.7k across the 55 of their papers we have counts for
4 papers · 1 filter
Hamiltonian LGT in the complete Fourier analysis basis
G. Burgio, R. De Pietri, H. A. Morales-Tecotl +2
The main problem in the Hamiltonian formulation of Lattice Gauge Theories is the determination of an appropriate basis avoiding the over-completeness arising from Mandelstam relati…
Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
R. De Pietri, L. Freidel, K. Krasnov +1
Boulatov and Ooguri have generalized the matrix models of 2d quantum gravity to 3d and 4d, in the form of field theories over group manifolds. We show that the Barrett-Crane quantu…
The basis of the physical Hilbert space of lattice gauge theories
G. Burgio, R. De Pietri, H. A. Morales-Tecotl +2
Non-linear Fourier analysis on compact groups is used to construct an orthonormal basis of the physical (gauge invariant) Hilbert space of Hamiltonian lattice gauge theories. In pa…
Canonical ``Loop'' Quantum Gravity and Spin Foam Models
R. De Pietri
The canonical ``loop'' formulation of quantum gravity is a mathematically well defined, background independent, non perturbative standard quantization of Einstein's theory of Gener…