Hybrid models in loop quantum cosmology

In the framework of Loop Quantum Cosmology (LQC), inhomogeneous models are usually quantized by means of a hybrid approach that combines loop quantization techniques with standard quantum field theory methods. This approach is based on a splitting of the phase space in a homogeneous sector, formed b...

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Authors: Elizaga Navascués, Beatriz; Martín Benito, Mercedes; Mena Marugán, Guillermo Antonio
Format: Article
Publication date:2016
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/98765.2
Online Access:https://hdl.handle.net/20.500.14352/98765.2
Access Level:Open access
Keyword:530.145
Hybrid loop quantum cosmology
Inhomogeneous cosmologies
Teoría de los quanta
2212 Física Teórica
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author Elizaga Navascués, Beatriz
author2 Martín Benito, Mercedes
Mena Marugán, Guillermo Antonio
author2_role author
author
author_browse Elizaga Navascués, Beatriz
Martín Benito, Mercedes
Mena Marugán, Guillermo Antonio
author_facet Elizaga Navascués, Beatriz
Martín Benito, Mercedes
Mena Marugán, Guillermo Antonio
author_role author
collection Docta Complutense
description In the framework of Loop Quantum Cosmology (LQC), inhomogeneous models are usually quantized by means of a hybrid approach that combines loop quantization techniques with standard quantum field theory methods. This approach is based on a splitting of the phase space in a homogeneous sector, formed by global, zero-modes and an inhomogeneous sector, formed by the remaining, infinite number of modes, that describe the local degrees of freedom. Then, the hybrid quantization is attained by adopting a loop representation for the homogeneous gravitational sector, while a Fock representation is used for the inhomogeneities. The zero-mode of the Hamiltonian constraint operator couples the homogeneous and inhomogeneous sectors. The hybrid approach, therefore, is expected to provide a suitable quantum theory in regimes where the main quantum effects of the geometry are those affecting the zero-modes, while the inhomogeneities, still being quantum, can be treated in a more conventional way. This hybrid strategy was first proposed for the simplest cosmological midisuperspaces: the Gowdy models, and it has been later applied to the case of cosmological perturbations. This paper reviews the construction and main applications of hybrid LQC.
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oai_identifier_str oai:docta.ucm.es:20.500.14352/98765.2
publishDate 2016
publishDateSort 2016
publisher World Scientific Publishing
publisherStr World Scientific Publishing
reponame_str Docta Complutense
spelling Hybrid models in loop quantum cosmology Elizaga Navascués, Beatriz Martín Benito, Mercedes Mena Marugán, Guillermo Antonio 530.145 Hybrid loop quantum cosmology Inhomogeneous cosmologies Teoría de los quanta 2212 Física Teórica In the framework of Loop Quantum Cosmology (LQC), inhomogeneous models are usually quantized by means of a hybrid approach that combines loop quantization techniques with standard quantum field theory methods. This approach is based on a splitting of the phase space in a homogeneous sector, formed by global, zero-modes and an inhomogeneous sector, formed by the remaining, infinite number of modes, that describe the local degrees of freedom. Then, the hybrid quantization is attained by adopting a loop representation for the homogeneous gravitational sector, while a Fock representation is used for the inhomogeneities. The zero-mode of the Hamiltonian constraint operator couples the homogeneous and inhomogeneous sectors. The hybrid approach, therefore, is expected to provide a suitable quantum theory in regimes where the main quantum effects of the geometry are those affecting the zero-modes, while the inhomogeneities, still being quantum, can be treated in a more conventional way. This hybrid strategy was first proposed for the simplest cosmological midisuperspaces: the Gowdy models, and it has been later applied to the case of cosmological perturbations. This paper reviews the construction and main applications of hybrid LQC. World Scientific Publishing https://hdl.handle.net/20.500.14352/98765.2
spellingShingle Hybrid models in loop quantum cosmology
Elizaga Navascués, Beatriz
530.145
Hybrid loop quantum cosmology
Inhomogeneous cosmologies
Teoría de los quanta
2212 Física Teórica
title Hybrid models in loop quantum cosmology
title_full Hybrid models in loop quantum cosmology
title_fullStr Hybrid models in loop quantum cosmology
title_full_unstemmed Hybrid models in loop quantum cosmology
title_short Hybrid models in loop quantum cosmology
title_sort Hybrid models in loop quantum cosmology
topic 530.145
Hybrid loop quantum cosmology
Inhomogeneous cosmologies
Teoría de los quanta
2212 Física Teórica
topic_facet 530.145
Hybrid loop quantum cosmology
Inhomogeneous cosmologies
Teoría de los quanta
2212 Física Teórica
url https://hdl.handle.net/20.500.14352/98765.2