Geometry transition in covariant loop quantum gravity

Θεοφίλης, Χαράλαμπος; Theofilis, Charalampos

dc.contributor.author	Θεοφίλης, Χαράλαμπος	el
dc.contributor.author	Theofilis, Charalampos	en
dc.date.accessioned	2023-05-10T10:03:48Z
dc.date.available	2023-05-10T10:03:48Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/57667
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.25364
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Φυσική και Τεχνολογικές Εφαρμογές”	el
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/gr/	*
dc.subject	Κβαντική Βαρύτητα	el
dc.subject	Βαρυτικό Ολοκλήρωμα Διαδρομής	el
dc.subject	Πλάτη Μετάβασης Γεωμετρίας	el
dc.subject	Γενική Σχετικότητα	el
dc.subject	Κβαντική Γεωμετρία	el
dc.subject	Quantum Gravity	en
dc.subject	Path Integral for Gravitation	en
dc.subject	Geometry Transition Amplitudes	en
dc.subject	General Relativity	en
dc.subject	Quantum Geometry	en
dc.title	Geometry transition in covariant loop quantum gravity	en
heal.type	masterThesis
heal.classification	Φυσική	el
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2023-02-17
heal.abstract	In Chapter 1 we briefly address the problem of quantization of Gravity along with the motivation for LQG and its qualitative features. In Chapter 2 we recast classical General Relativity in a form suitable for quantization. In Chapter 3 we construct the Kinematics of LQG and we compute the eigenvalues of the Area operator and Volume operator in a special but pedagogical case. Chapter 4 contains the main part of this thesis. We show how the fixed-spin asymptotics of the EPRL model can be used to perform the spin-sum for spin foam amplitudes defined on fixed two-complexes without interior faces and contracted with coherent spin-network states peaked on a discrete simplicial geometry with macroscopic areas. We work in the representation given in Ref. 4. We first rederive the latter in a different way suitable for our purposes. We then extend this representation to 2-complexes with a boundary and derive its relation to the coherent state representation. We give the measure providing the resolution of the identity for Thiemann’s state in the twisted geometry parametrization. The above then permit us to put everything together with other results in the literature and show how the spin sum can be performed analytically for the regime of interest here. These results are relevant to analytic investigations regarding the transition of a black hole to a white hole geometry. In particular, this work gives detailed technique that was the basis of estimate for the black to white bounce appeared in Ref. 5. These results may also be relevant for applications of spinfoams to investigate the possibility of a ‘big bounce’.	en
heal.sponsor	John Templeton Foundation	en
heal.sponsor	Blaumann Foundation	en
heal.advisorName	Αναγνωστόπουλος, Κωνσταντίνος	el
heal.committeeMemberName	Αναγνωστόπουλος, Κωνσταντίνος	el
heal.committeeMemberName	Κεχαγιάς, Αλέξανδρος	el
heal.committeeMemberName	Μαυρόματος, Νικόλαος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Εφαρμοσμένων Μαθηματικών και Φυσικών Επιστημών	el
heal.academicPublisherID	ntua
heal.numberOfPages	59 σ.	el
heal.fullTextAvailability	false