Uniqueness of the Representation in Homogeneous Isotropic LQC

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autor(en): Engle J, Hanusch M, Thiemann T
Zeitschrift: Communications in Mathematical Physics
Verlag: SPRINGER
Jahr der Veröffentlichung: 2017
Band: 354
Heftnummer: 1
Seitenbereich: 231-246
ISSN: 0010-3616


Abstract


We show that the standard representation of homogeneous isotropic loop quantum cosmology (LQC) is the GNS-representation that corresponds to the unique state on the reduced quantum holonomy-flux *-algebra that is invariant under residual diffeomorphisms-both when the standard algebra is used as well as when one uses the extended algebra proposed by Fleischhack. More precisely, we find that in both situations the GNS-Hilbert spaces coincide, and that in the Fleischhack case the additional algebra elements are just mapped to zero operators. In order for the residual diffeomorphisms to have a well-defined action on the quantum algebra, we have let them act on the fiducial cell as well as on the dynamical variables, thereby recovering covariance. Consistency with Ashtekar and Campilgia in the Bianchi case is also shown.



FAU-Autoren / FAU-Herausgeber

Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik


Zitierweisen

APA:
Engle, J., Hanusch, M., & Thiemann, T. (2017). Uniqueness of the Representation in Homogeneous Isotropic LQC. Communications in Mathematical Physics, 354(1), 231-246. https://dx.doi.org/10.1007/s00220-017-2881-2

MLA:
Engle, Jonathan, Maximilian Hanusch, and Thomas Thiemann. "Uniqueness of the Representation in Homogeneous Isotropic LQC." Communications in Mathematical Physics 354.1 (2017): 231-246.

BibTeX: 

Zuletzt aktualisiert 2018-03-07 um 21:10