162 citations · 1.6k across the 50 of their papers we have counts for
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Testing the imposition of the Spin Foam Simplicity Constraints
Marc Geiller, Karim Noui
We introduce a three-dimensional Plebanski action for the gauge group SO(4). In this model, the field satisfies quadratic simplicity constraints similar to that of the four-dim…
Spin Foams and Canonical Quantization
Sergei Alexandrov, Marc Geiller, Karim Noui
This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions. In the three-dimensional…
Continuous formulation of the Loop Quantum Gravity phase space
Laurent Freidel, Marc Geiller, Jonathan Ziprick
In this paper, we study the discrete classical phase space of loop gravity, which is expressed in terms of the holonomy-flux variables, and show how it is related to the continuous…
A new look at Lorentz-Covariant Loop Quantum Gravity
Marc Geiller, Marc Lachieze-Rey, Karim Noui
In this work, we study the classical and quantum properties of the unique commutative Lorentz-covariant connection for loop quantum gravity. This connection has been found after so…
A Lorentz-Covariant Connection for Canonical Gravity
Marc Geiller, Marc Lachieze-Rey, Karim Noui +1
We construct a Lorentz-covariant connection in the context of first order canonical gravity with non-vanishing Barbero-Immirzi parameter. To do so, we start with the phase space fo…