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Living Reviews in Relativity, 2008 The problem of describing the quantum behavior of gravity, and thus understanding quantum spacetime, is still open. Loop quantum gravity is a well-developed approach to this problem. It is a mathematically well-defined background-independent quantization
Rovelli Carlo
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Living Reviews in Relativity, 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 Carlo
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Extended Loop Quantum Gravity [PDF]
Classical 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
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On Propagation in Loop Quantum Gravity [PDF]
Universe, 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”
Thomas Thiemann, Madhavan Varadarajan
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Matter in Loop Quantum Gravity [PDF]
Symmetry, 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.
Ghanashyam Date, Golam Mortuza Hossain
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Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts.
Florian Girelli +2 more
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From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity [PDF]
Proceedings 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
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Relativistic Planck-scale polymer
Physics Letters B, 2017 Polymer quantum mechanics has been studied as a simplified picture that reflects some of the key properties of Loop Quantum Gravity; however, while the fate of relativistic symmetries in Loop Quantum Gravity is still not established, it is usually ...
Giovanni Amelino-Camelia +3 more
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An illustration of 2+1 gravity loop transform troubles [PDF]
arXiv, 1993 A nonperturbative approach to quantum gravity that has generated much discussion is the attempt to construct a ``loop representation." Despite it's success in linear quantum theories and a part of 2+1 quantum gravity, it has recently been noticed that difficulties arise with loop representations in a different ``sector" of 2+1 gravity. The problems are
Marolf, Donald
arxiv +3 more sources
International 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 +6 more sources