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 the recent twenty years, loop quantum gravity, a background independent approach to
unify general relativity and quantum mechanics, has been widely investigated. The aim of …

Abstract Quantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has
matured over the past fifteen years to a mathematically rigorous candidate quantum field …

Channel-state duality refers to the correspondence between quantum channels and bipartite
states, and it is extremely useful and fruitful in quantum information theory. It is often called …

This is an informal review of the formulation of canonical general relativity and of its
implications for quantum gravity; the various versions are compared, both in the continuum …

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 …

The concept of effective dynamics has proven successful in LQC, a loop-inspired
quantization of cosmological spacetimes. We apply the same idea of its derivation in LQC to …

In this paper we outline a rather general construction of diffeomorphism covariant coherent
states for quantum gauge theories. By this we mean states ψ (A, E), labelled by a point (A, E) …

The Hamiltonian constraint remains the major unsolved problem in loop quantum gravity
(LQG). Some time ago, a mathematically consistent candidate Hamiltonian constraint was …

This is an introduction to the by now fifteen years old research field of canonical quantum
general relativity, sometimes called" loop quantum gravity". The term" modern" in the title …