The goal of this review is to present an introduction to loop quantum gravity—a background-
independent, non-perturbative approach to the problem of unification of general relativity …

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 …

A new functional calculus, developed recently for a fully non-perturbative treatment of
quantum gravity, is used to begin a systematic construction of a quantum theory of geometry …

Quantization of diffeomorphism invariant theories of connections is studied and the quantum
diffeomorphism constraint is solved. The space of solutions is equipped with an inner …

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-
Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck …

A general framework for integration over certain infinite dimensional spaces is first
developed using projective limits of a projective family of compact Hausdorff spaces. The …

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 …

This volume provides a self-contained introduction to applications of loop representations,
and the related topic of knot theory, in particle physics and quantum gravity. These topics are …

Given a real-analytic manifoldM, a compact connected Lie groupGand a principalG-
bundleP→ M, there is a, canonical “generalized measure” on the space A/G of smooth …

In a quantum mechanical treatment of gauge theories (including general relativity), one is
led to consider a certain completion AG of the space AG of guage equivalent connections …