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Loop Quantum Gravity. [PDF]

open access: yesLiving Rev Relativ, 1998
The problem of finding the quantum theory of the gravitational field, and thus understanding what is quantum spacetime, is still open. One of the most active of the current approaches is loop quantum gravity. Loop quantum gravity is a mathematically well-
Rovelli C.
europepmc   +7 more sources

Extended Loop Quantum Gravity [PDF]

open access: yesClassical and Quantum Gravity, 2010
We discuss constraint structure of extended theories of gravitation (also known as f(R) theories) in the vacuum selfdual formulation introduced in ref.
Bojowald M   +10 more
core   +16 more sources

On Propagation in Loop Quantum Gravity [PDF]

open access: yesUniverse, 2022
A rigorous implementation of the Wheeler–Dewitt equations was derived in the context of Loop Quantum Gravity (LQG) and was coined Quantum Spin Dynamics (QSD). The Hamiltonian constraint of QSD was criticised as being too local and to prevent “propagation” in canonical LQG.
Thiemann, Thomas, Varadarajan, Madhavan
openaire   +4 more sources

Matter in Loop Quantum Gravity [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background independence also requires a non-standard quantum representation of matter.
Date, G., Hossain, G.M.
openaire   +5 more sources

From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity [PDF]

open access: yesProceedings of 3rd Quantum Gravity and Quantum Geometry School — PoS(QGQGS 2011), 2013
We present an introduction to the canonical quantization of gravity performed in loop quantum gravity, based on lectures held at the 3rd quantum geometry and quantum gravity school in Zakopane in 2011.
Giesel, Kristina, Sahlmann, Hanno
core   +3 more sources

Loop quantum gravity [PDF]

open access: bronzeXIVth International Congress on Mathematical Physics, 2006
We describe the canonical approach to quantum gravity and report on the status of its most advanced implementation, Loop Quantum Gravity (LQG).
Alejandro Pérez
  +10 more sources

Loop quantum gravity [PDF]

open access: yesInternational Journal of Modern Physics D, 2014
This paper presents an "in-a-nutshell" yet self-contained introductory review on loop quantum gravity (LQG) — a background-independent, nonperturbative approach to a consistent quantum theory of gravity. Instead of rigorous and systematic derivations, it aims to provide a general picture of LQG, placing emphasis on the fundamental ideas and their ...
Dah-Wei Chiou, Dah-Wei Chiou
openaire   +4 more sources

On loop states in loop-quantum gravity [PDF]

open access: yesClassical and Quantum Gravity, 2007
We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3-d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid rotators on the links of the lattice.
Manu Mathur, N. D. Hari Dass
openaire   +3 more sources

Automorphisms in loop quantum gravity [PDF]

open access: yesClassical and Quantum Gravity, 2009
57 pages, 7 ...
Thomas Thiemann, Benjamin Bahr
openaire   +4 more sources

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