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 …

A bstract In the tetrad formulation of gravity, the so-called simplicity constraints play a central
role. They appear in the Hamiltonian analysis of the theory, and in the Lagrangian path …

Making the Lorentzian path integral for quantum gravity well-defined and computable has
been a long standing challenge. In this work we adopt the recently proposed effective spin …

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 give, in some detail, a critical overview over recent work towards deriving a cosmological
phenomenology from the fundamental quantum dynamics of group field theory (GFT), based …

We provide a rather extended introduction to the group field theory approach to quantum
gravity, and the main ideas behind it. We present in some detail the GFT quantization of 3d …