The problem of describing the quantum behavior of gravity, and thus understanding
quantum spacetime, is still open. Loop quantum gravity is a well-developed approach to this …

This introductory review is addressed to beginning researchers. Some of the distinguishing
features of loop quantum gravity are illustrated through loop quantum cosmology of FRW …

We extend the definition of the “flipped” loop-quantum-gravity vertex to the case of a finite
Immirzi parameter γ. We cover both the Euclidean and Lorentzian cases. We show that the …

We introduce a new spinfoam vertex to be used in models of 4d quantum gravity based on
SU (2) and SO (4) BF theory plus constraints. It can be seen as the conventional vertex of SU …

We introduce a vertex amplitude for 4d loop quantum gravity. We derive it from a
conventional quantization of a Regge discretization of euclidean general relativity. This …

General relativity can be written as topological BF theory plus a set of second-class
constraints. Classically the constraints provide the geometric interpretation of the B variables …

Some components of the graviton two-point function have been recently computed in the
context of loop quantum gravity, using the spinfoam Barrett-Crane vertex. We complete the …

In this paper we discuss a proposal of coherent states for loop quantum gravity. These states
are labeled by a point in the phase space of general relativity as captured by a spin-network …

The dual picture of quantum geometry provided by a spin network state is discussed. From
this perspective, we introduce a new operator in Loop Quantum Gravity—the length …

We compute metric correlations in loop quantum gravity with the dynamics defined by the
new spin foam models. The analysis is done at the lowest order in a vertex expansion and at …