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Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations
Causal Dynamical Triangulations is a non-perturbative quantum gravity model, defined with a lattice cut-off. The model can be viewed as defined with a proper time but with no reference to any three-dimensional spatial background geometry. It has four phases, depending on the parameters (the coupling constants) of the model. The particularly interesting behavior is observed in the so-called de Sitter phase, where the spatial three-volume distribution as a function of proper time has a semi-classical behavior which can be obtained from an effective mini-superspace action. In the case of the three-sphere spatial topology, it has been difficult to extend the effective semi-classical description in terms of proper time and spatial three-volume to include genuine spatial coordinates, partially because of the background independence inherent in the model. However, if the spatial topology is that of a three-torus, it is possible to define a number of new observables that might serve as spatial coordinates as well as new observables related to the winding numbers of the three-dimensional torus. The present paper outlines how to define the observables, and how they can be used in numerical simulations of the model.
cris.lastimport.wos | 2024-04-09T18:19:17Z | |
dc.abstract.en | Causal Dynamical Triangulations is a non-perturbative quantum gravity model, defined with a lattice cut-off. The model can be viewed as defined with a proper time but with no reference to any three-dimensional spatial background geometry. It has four phases, depending on the parameters (the coupling constants) of the model. The particularly interesting behavior is observed in the so-called de Sitter phase, where the spatial three-volume distribution as a function of proper time has a semi-classical behavior which can be obtained from an effective mini-superspace action. In the case of the three-sphere spatial topology, it has been difficult to extend the effective semi-classical description in terms of proper time and spatial three-volume to include genuine spatial coordinates, partially because of the background independence inherent in the model. However, if the spatial topology is that of a three-torus, it is possible to define a number of new observables that might serve as spatial coordinates as well as new observables related to the winding numbers of the three-dimensional torus. The present paper outlines how to define the observables, and how they can be used in numerical simulations of the model. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Ambjorn, J. | pl |
dc.contributor.author | Drogosz, Zbigniew - 217072 | pl |
dc.contributor.author | Gizbert-Studnicki, Jakub - 107255 | pl |
dc.contributor.author | Görlich, Andrzej - 135185 | pl |
dc.contributor.author | Jurkiewicz, Jerzy - 128560 | pl |
dc.date.accessioned | 2019-10-31T14:01:22Z | |
dc.date.available | 2019-10-31T14:01:22Z | |
dc.date.issued | 2019 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 943 | pl |
dc.identifier.articleid | 114626 | pl |
dc.identifier.doi | 10.1016/j.nuclphysb.2019.114626 | pl |
dc.identifier.eissn | 1873-1562 | pl |
dc.identifier.issn | 0550-3213 | pl |
dc.identifier.project | ROD UJ / OP | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/86276 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | otwarte czasopismo | |
dc.subtype | Article | pl |
dc.title | Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations | pl |
dc.title.journal | Nuclear Physics. B | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence