Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations

2019
journal article
article
7
cris.lastimport.wos2024-04-09T18:19:17Z
dc.abstract.enCausal 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.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorAmbjorn, J.pl
dc.contributor.authorDrogosz, Zbigniew - 217072 pl
dc.contributor.authorGizbert-Studnicki, Jakub - 107255 pl
dc.contributor.authorGörlich, Andrzej - 135185 pl
dc.contributor.authorJurkiewicz, Jerzy - 128560 pl
dc.date.accessioned2019-10-31T14:01:22Z
dc.date.available2019-10-31T14:01:22Z
dc.date.issued2019pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume943pl
dc.identifier.articleid114626pl
dc.identifier.doi10.1016/j.nuclphysb.2019.114626pl
dc.identifier.eissn1873-1562pl
dc.identifier.issn0550-3213pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/86276
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titlePseudo-Cartesian coordinates in a model of Causal Dynamical Triangulationspl
dc.title.journalNuclear Physics. Bpl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T18:19:17Z
dc.abstract.enpl
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.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Ambjorn, J.
dc.contributor.authorpl
Drogosz, Zbigniew - 217072
dc.contributor.authorpl
Gizbert-Studnicki, Jakub - 107255
dc.contributor.authorpl
Görlich, Andrzej - 135185
dc.contributor.authorpl
Jurkiewicz, Jerzy - 128560
dc.date.accessioned
2019-10-31T14:01:22Z
dc.date.available
2019-10-31T14:01:22Z
dc.date.issuedpl
2019
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
943
dc.identifier.articleidpl
114626
dc.identifier.doipl
10.1016/j.nuclphysb.2019.114626
dc.identifier.eissnpl
1873-1562
dc.identifier.issnpl
0550-3213
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/86276
dc.languagepl
eng
dc.language.containerpl
eng
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.subtypepl
Article
dc.titlepl
Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations
dc.title.journalpl
Nuclear Physics. B
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

* The migration of download and view statistics prior to the date of April 8, 2024 is in progress.

Views
21
Views per month
Views per city
Krakow
5
Ashburn
2
Chandler
2
Dublin
2
Wroclaw
2
Boydton
1
Washington
1
Downloads
ambjorn_drogosz_gizbert-studnicki_gorlich_jurkiewicz_pseudo-cartesian_coordinates_2019.pdf
19
ambjorn_drogosz_gizbert-studnicki_gorlich_jurkiewicz_pseudo-cartesian_coordinates_2019.odt
7