An outstanding open issue in our quest for physics beyond Einstein is the unification of
general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading …

This article reviews the present status of the spin-foam approach to the quantization of
gravity. Special attention is payed to the pedagogical presentation of the recently-introduced …

Using techniques from loop quantum gravity, the standard theory of cosmological
perturbations was recently generalized to encompass the Planck era. We now apply this …

Cosmological perturbations are generally described by quantum fields on (curved but)
classical space-times. While this strategy has a large domain of validity, it can not be justified …

A cornerstone of the loop quantum gravity program is the fact that the phase space of
general relativity on a fixed graph can be described by a product of SU (2) cotangent …

Intertwiners are the building blocks of spin-network states. The space of intertwiners is the
quantization of a classical symplectic manifold introduced by Kapovich and Millson. Here we …

arxiv:1102.3660v5 [gr-qc] 3 Aug 2011 Page 1 Zakopane lectures on loop gravity Carlo Rovelli
Centre de Physique Théorique de Luminy, Case 907, F-13288 Marseille, EU (Dated: August 4 …

The amplitude for the 4-simplex in a spin foam model for quantum gravity is defined using a
graphical calculus for the unitary representations of the Lorentz group. The asymptotics of …

We compute the transition amplitude between coherent quantum states of geometry peaked
on homogeneous-isotropic metrics. We work in the context of pure gravity without matter, we …

Numerical methods are a powerful tool for doing calculations in spinfoam theory. We review
the major frameworks available, their definition, and various applications. We start from …