958 citations · 4.1k across the 133 of their papers we have counts for
4 papers · 1 filter
The Extended Loop Representation of Quantum Gravity
C. Di Bartolo, R. Gambini, J. Griego
A new representation of Quantum Gravity is developed. This formulation is based on an extension of the group of loops. The enlarged group, that we call the Extended Loop Group, beh…
The constraint algebra of quantum gravity in the loop representation
Rodolfo Gambini, Alcides Garat, Jorge Pullin
We study the algebra of constraints of quantum gravity in the loop representation based on Ashtekar's new variables. We show by direct computation that the quantum commutator algeb…
Quantum Mechanics for Totally Constrained Dynamical Systems and Evolving Hilbert Spaces
Ricardo Doldan, Pablo Mora, Rodolfo Gambini
We analyze the quantization of dynamical systems that do not involve any background notion of space and time. We give a set of conditions for the introduction of an intrinsic time…
The Loop Representation in Gauge Theories and Quantum Gravity
Rodolfo Gambini
We review the application of the loop representation to gauge theories and general relativity. The emphasis lies on exhibiting the loop calculus techniques, and their application t…