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Introduction to Loop Quantum Cosmology [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective dynamics.
Kinjal Banerjee   +2 more
doaj   +7 more sources

Computation of non-Gaussianity in loop quantum cosmology [PDF]

open access: hybridThe Fifteenth Marcel Grossmann Meeting, 2022
We summarize our investigations of the second-order perturbations in loop quantum cosmology (LQC). We shall discuss, primarily, two aspects. Firstly, whether the second-order contributions arising from the cosmic bounce, occurring at Planck scale, could ...
V. Sreenath   +2 more
openalex   +2 more sources

Inflation in loop quantum cosmology [PDF]

open access: yesPhysical Review D, 2018
We develop a consistent analytic approach to determine the conditions under which slow roll inflation can arise when the inflaton is the same scalar field that is responsible for the bounce in Loop Quantum Cosmology (LQC).
A. Bhardwaj, E. Copeland, J. Louko
semanticscholar   +4 more sources

Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models [PDF]

open access: diamondSymmetry, Integrability and Geometry: Methods and Applications, 2013
The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian.
Martin Bojowald
doaj   +2 more sources

The Semiclassical Limit of Loop Quantum Cosmology [PDF]

open access: yesClassical and Quantum Gravity, 2001
The continuum and semiclassical limits of isotropic, spatially flat loop quantum cosmology are discussed, with an emphasis on the role played by the Barbero-Immirzi parameter \gamma in controlling space-time discreteness.
Ashtekar A   +20 more
core   +6 more sources

Loop Quantum Cosmology I: Kinematics [PDF]

open access: yesClassical and Quantum Gravity, 1999
The framework of quantum symmetry reduction is applied to loop quantum gravity with respect to transitively acting symmetry groups. This allows to test loop quantum gravity in a large class of minisuperspaces and to investigate its features - e.g.
Ashtekar A   +22 more
core   +3 more sources

The Vacuum State of Primordial Fluctuations in Hybrid Loop Quantum Cosmology [PDF]

open access: yesUniverse, 2018
We investigate the role played by the vacuum of the primordial fluctuations in hybrid Loop Quantum Cosmology. We consider scenarios where the inflaton potential is a mass term and the unperturbed quantum geometry is governed by the effective dynamics of ...
Beatriz Elizaga Navascués   +2 more
doaj   +2 more sources

Inflationary Cosmology and Oscillating Universes in Loop Quantum Cosmology [PDF]

open access: yesInternational Journal of Modern Physics A, 2004
We study oscillatory universes within the context of Loop Quantum Cosmology. We make a comparative study of flat and positively curved universes sourced by scalar fields with either positive or negative potentials.
Bojowald M.   +9 more
core   +3 more sources

A novel link between Wheeler-DeWitt quantization and (effective) loop quantum cosmology

open access: diamondPhysics Letters B
It is shown that several prescriptions for the effective continuum limit of the flat Friedmann-Lemaitre-Robertson-Walker loop quantum cosmology can be understood as the exact classical limit of the Wheeler-DeWitt quantization of certain dynamical systems,
Abraham Espinoza-García
doaj   +2 more sources

On the evolution of the volume in Loop Quantum Cosmology [PDF]

open access: greenClassical and Quantum Gravity, 2023
Abstract The dynamics of the expectation value of the volume is one of the key ingredients behind the replacement of the Big Bang singularity by a bounce in Loop Quantum Cosmology. As such, it is of great importance that this quantity is mathematically well-defined in the space of physical states of the theory.
Beatriz Elizaga Navascués
openalex   +3 more sources

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