Covariant Loop Quantum Gravity

Quantum gravity is among the most fascinating problems in physics. It modifies our understanding of time, space and matter. The recent development of the loop approach has allowed us to explore domains ranging from black hole thermodynamics to the early Universe. This book provides readers with a simple introduction to loop quantum gravity, centred on its covariant approach. It focuses on the physical and conceptual aspects of the problem and includes the background material needed to enter this lively domain of research, making it ideal for researchers and graduate students. Topics covered include quanta of space
classical and quantum physics without time
tetrad formalism
Holst action
lattice QCD
Regge calculus
ADM and Ashtekar variables
Ponzano-Regge and Turaev-Viro amplitudes
kinematics and dynamics of 4D Lorentzian quantum gravity
spectrum of area and volume
coherent states
classical limit
matter couplings
graviton propagator
spinfoam cosmology and black hole thermodynamics.