In this topical review, we review the present status of the spin foam formulation of non-
perturbative (background-independent) quantum gravity. The topical review is divided into …

Loop quantum gravity (LQG)[1–3] has become a serious competitor to string theory as a
candidate theory of quantum gravity. Its popularity is steadily growing because it has …

An assessment is offered of the progress that the major approaches to quantum gravity have
made towards the goal of constructing a complete and satisfactory theory. The emphasis is …

The stationary phase technique is used to calculate asymptotic formulae for SO (4)
relativistic spin networks. For the tetrahedral spin network this gives the square of the …

It is well known that the building blocks for state sum models of quantum gravity are given by
6j and 10j symbols. In this work, we study the asymptotics of these symbols by using their …

We describe the basic assumptions and key results of loop quantum gravity. No details are
given, but references are provided to guide the interested reader to the literature. We …

The goal of spin foam models is to provide a viable path integral formulation of quantum
gravity. Because of background independence, their underlying framework has certain novel …

Simplicity constraints play a crucial role in the construction of spin foam models, yet their
effective behavior on larger scales is scarcely explored. In this article we introduce …

In a previous article we have shown that there are difficulties in obtaining the correct graviton
propagator from the loop-quantum-gravity dynamics defined by the Barrett-Crane vertex …

The Riemannian 10j symbols are spin networks that assign an amplitude to each 4-simplex
in the Barrett–Crane model of Riemannian quantum gravity. This amplitude is a function of …