Title: Kinematic structure and diffeomorphism invariance in Loop Quantum Cosmology
Language: English
Authors: Mörtlbauer, Thomas 
Qualification level: Diploma
Keywords: Schleifen; Symmetrie; Diffeomorphismen; Quantengravitation; Minisuperspace; Kinematik; Quantisierung: kanonisch; Quantenkosmologie; Allgemeine Relativitätstheorie
loop space; symmetry; diffeomorphisms; quantum gravity; minisuperspace; kinematics; quantization: canonical; quantum cosmology; general relativity
Advisor: Balasin, Herbert
Issue Date: 2011
Number of Pages: 157
Qualification level: Diploma
Abstract: 
Zwei verschiedene Zugänge zur kinematischen Struktur der Schleifenquantenkosmologie, die die Anwendung von Methoden der Schleifenquantengravitation auf kosmologische Modelle beschreibt, werden diskutiert. Wir präsentieren einen Vorschlag wie man Invarianz unter speziellen Diffeomorphismen implementieren kann, um die kinematische Struktur zu verbessern und einen separablen diffeomorphismeninvarianten Hilbertraum zu erhalten. Der resultierende Raum ist nur zweidimensional, was zu klein ist um nichttriviale Lösungen der Dynamik zu erlauben.

Two different approaches to the kinematic structure of loop quantum cosmology, which is the treatment of cosmological models with methods of loop quantum gravity, are discussed. We introduce a proposal on how to implement invariance under specific diffeomorphisms in order to improve the kinematic structure and obtain a separable diffeomorphism invariant Hilbert space. The resulting space is only two-dimensional, which is too small to allow non-trivial solutions to the dynamics.
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-51071
http://hdl.handle.net/20.500.12708/10714
Library ID: AC07811712
Organisation: E136 - Institut für Theoretische Physik 
Publication Type: Thesis
Hochschulschrift
Appears in Collections:Thesis

Files in this item:

Show full item record

Page view(s)

8
checked on Feb 18, 2021

Download(s)

71
checked on Feb 18, 2021

Google ScholarTM

Check


Items in reposiTUm are protected by copyright, with all rights reserved, unless otherwise indicated.