Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations

doi:10.1016/j.nuclphysb.2019.114626

Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations

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Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations

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dc.contributor.author	Ambjorn, J.	pl
dc.contributor.author	Drogosz, Zbigniew [USOS160113]	pl
dc.contributor.author	Gizbert-Studnicki, Jakub [SAP14011527]	pl
dc.contributor.author	Görlich, Andrzej [SAP13902753]	pl
dc.contributor.author	Jurkiewicz, Jerzy [SAP11006413]	pl
dc.date.accessioned	2019-10-31T14:01:22Z
dc.date.available	2019-10-31T14:01:22Z
dc.date.issued	2019	pl
dc.identifier.issn	0550-3213	pl
dc.identifier.uri	https://ruj.uj.edu.pl/xmlui/handle/item/86276
dc.language	eng	pl
dc.rights	Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/pl/legalcode	*
dc.title	Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations	pl
dc.type	JournalArticle	pl
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.description.volume	943	pl
dc.identifier.doi	10.1016/j.nuclphysb.2019.114626	pl
dc.identifier.eissn	1873-1562	pl
dc.title.journal	Nuclear Physics. B	pl
dc.language.container	eng	pl
dc.affiliation	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego	pl
dc.subtype	Article	pl
dc.identifier.articleid	114626	pl
dc.rights.original	CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0	pl
dc.identifier.project	ROD UJ / OP	pl
.pointsMNiSW	[2019 A]: 140