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Semiclassical Loop Quantum Gravity

by Black Hole Thermodynamics, Arundhati Dasgupta
"... Abstract. In this article we explore the origin of black hole thermodynamics using semi-classical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) in-tertwiners. We further show tha ..."
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Abstract. In this article we explore the origin of black hole thermodynamics using semi-classical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) in-tertwiners. We further show

Matter in Loop Quantum Gravity

by Ghanashyam Date, Golam Mortuza Hossain - 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. The spirit of background independence also requires a nonstandard quantum representation of matter. While loo ..."
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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 nonstandard quantum representation of matter. While

Automorphisms in Loop Quantum Gravity

by unknown authors , 2008
"... We investigate a certain distributional extension of the group of spatial diffeomorphisms in Loop Quantum Gravity. This extension, which is given by the automorphisms Aut(P) of the path groupoid P, was proposed by Velhinho and is inspired by category theory. This group is much larger than the group ..."
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We investigate a certain distributional extension of the group of spatial diffeomorphisms in Loop Quantum Gravity. This extension, which is given by the automorphisms Aut(P) of the path groupoid P, was proposed by Velhinho and is inspired by category theory. This group is much larger than the group

Lattice Loop Quantum Gravity

by Johannes Aastrup A, Jesper Møller Grimstrup B
"... We present a separable version of Loop Quantum Gravity (LQG) based on an inductive system of cubic lattices. We construct semi-classical states for which the LQG operators – the flux, the area and the volume operators – have the right classical limits. Also, we present the Hamilton and diffeomorphis ..."
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We present a separable version of Loop Quantum Gravity (LQG) based on an inductive system of cubic lattices. We construct semi-classical states for which the LQG operators – the flux, the area and the volume operators – have the right classical limits. Also, we present the Hamilton

Graviton propagator in loop quantum gravity

by Eugenio Bianchi , Leonardo Modesto , Carlo Rovelli , Simone Speziale , 2008
"... We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter. ..."
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We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter.

Fundamental structure of loop quantum gravity

by Muxin Han, Weiming Huang, Yongge Ma - Int. J. Mod. Phys , 2007
"... In recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous, background independent, nonperturbative quantum theory for Loren ..."
Abstract - Cited by 14 (6 self) - Add to MetaCart
In recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous, background independent, nonperturbative quantum theory

Lectures on loop quantum gravity

by T. Thiemann - LECT. NOTES PHYS , 2003
"... ... the past fifteen years to a mathematically rigorous candidate quantum field theory of the gravitational field. The features that distinguish it from other quantum gravity theories are 1) background independence and 2) minimality of structures. Background independence means that this is a non-per ..."
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... the past fifteen years to a mathematically rigorous candidate quantum field theory of the gravitational field. The features that distinguish it from other quantum gravity theories are 1) background independence and 2) minimality of structures. Background independence means that this is a non

The Proca-field in Loop Quantum Gravity

by G Helesfai , 2006
"... Abstract. In this paper we investigate the Proca-field in the framework of Loop Quantum Gravity. It turns out that the methods developed there can be applied to the symplectically embedded Proca-field, giving a rigorous, consistent, non-perturbative quantization of the theory. This can be achieved b ..."
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Abstract. In this paper we investigate the Proca-field in the framework of Loop Quantum Gravity. It turns out that the methods developed there can be applied to the symplectically embedded Proca-field, giving a rigorous, consistent, non-perturbative quantization of the theory. This can be achieved

On loop states in loop quantum gravity

by N. D. Hari Dass, Manu Mathur
"... 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 ..."
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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

for Loop Quantum Gravity

by unknown authors
"... ar ..."
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