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.
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