Results 1  10
of
214,182
Semiclassical Loop Quantum Gravity
"... Abstract. In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We reexamine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show tha ..."
Abstract
 Add to MetaCart
Abstract. In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We reexamine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show
Matter in Loop Quantum Gravity
 SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS
, 2012
"... Loop quantum gravity, a nonperturbative 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 ..."
Abstract
 Add to MetaCart
Loop quantum gravity, a nonperturbative 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
Lattice Loop Quantum Gravity
"... We present a separable version of Loop Quantum Gravity (LQG) based on an inductive system of cubic lattices. We construct semiclassical 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 ..."
Abstract
 Add to MetaCart
We present a separable version of Loop Quantum Gravity (LQG) based on an inductive system of cubic lattices. We construct semiclassical states for which the LQG operators – the flux, the area and the volume operators – have the right classical limits. Also, we present the Hamilton
Automorphisms in Loop Quantum Gravity
, 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 ..."
Abstract
 Add to MetaCart
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
Fundamental structure of loop quantum gravity
 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 13 (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
The Procafield in Loop Quantum Gravity
, 2006
"... Abstract. In this paper we investigate the Procafield in the framework of Loop Quantum Gravity. It turns out that the methods developed there can be applied to the symplectically embedded Procafield, giving a rigorous, consistent, nonperturbative quantization of the theory. This can be achieved b ..."
Abstract
 Add to MetaCart
Abstract. In this paper we investigate the Procafield in the framework of Loop Quantum Gravity. It turns out that the methods developed there can be applied to the symplectically embedded Procafield, giving a rigorous, consistent, nonperturbative quantization of the theory. This can be achieved
Lectures on loop quantum gravity
 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 nonper ..."
Abstract

Cited by 20 (2 self)
 Add to MetaCart
... 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
On loop states in loop quantum gravity
"... We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid rotators ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid
Results 1  10
of
214,182