scholarly journals Hamiltonian operator for loop quantum gravity coupled to a scalar field

2015 ◽  
Vol 91 (12) ◽  
Author(s):  
E. Alesci ◽  
M. Assanioussi ◽  
J. Lewandowski ◽  
I. Mäkinen
Keyword(s):  
Scalar Field ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Hamiltonian Operator

scholarly journals Gravity quantized: Loop quantum gravity with a scalar field

2010 ◽  
Vol 82 (10) ◽  
Author(s):  
Marcin Domagała ◽  
Kristina Giesel ◽  
Wojciech Kamiński ◽  
Jerzy Lewandowski
Keyword(s):  
Scalar Field ◽  
Quantum Gravity ◽  
Loop Quantum Gravity

scholarly journals Loop quantum gravity coupled to a scalar field

2016 ◽  
Vol 93 (2) ◽  
Author(s):  
Jerzy Lewandowski ◽  
Hanno Sahlmann
Keyword(s):  
Scalar Field ◽  
Quantum Gravity ◽  
Loop Quantum Gravity

Singularity avoidance, lattices, and quantum gravity

2008 ◽  
Vol 86 (4) ◽  
pp. 583-586
Author(s):  
V Husain
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Quantum Gravity ◽  
Spherical Symmetry ◽  
Quantum Cosmology ◽  
Loop Quantum Gravity ◽  
Curvature Singularity ◽  
Singularity Avoidance ◽  
General Lattice ◽  
Coulomb Singularity

An ingredient in recent discussions of curvature singularity avoidance in quantum gravity is the “inverse scale factor” operator in quantum cosmology, and its generalizations to field theoretic models such as scalar-field collapse in spherical symmetry. I describe a general lattice origin of this idea, and show how it applies to the Coulomb singularity in quantum mechanics. The example demonstrates that a discretized Schrodinger equation is computationally equivalent to the so-called polymer quantization derived loop quantum gravity. This applies also to lattice discretized forms of the Wheeler–deWitt equation.PACS Nos.: 04.60.–m, 04.60.Ds, 04.70.Dy

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