Some results concerning the representation theory of the algebra underlying loop quantum gravity

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Sahlmann H
Zeitschrift: Journal of Mathematical Physics
Verlag: American Institute of Physics (AIP)
Jahr der Veröffentlichung: 2011
Band: 52
Heftnummer: 1
ISSN: 0022-2488


Abstract


Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of (kinematical) observables and of a representation of A on a measure space over the space of generalized connections. This representation is singled out by its elegance and diffeomorphism covariance. Recently, in the context of the quest for semiclassical states, states of the theory in which the quantum gravitational field is close to some classical geometry, it was realized that it might also be worthwhile to study different representations of the algebra A. The content of the present work is the observation that under some mild assumptions, the mathematical structure of representations of A can be analyzed rather effortlessly, to a certain extent: each representation can be labeled by sets of functions and measures on the space of (generalized) connections that fulfill certain conditions. © 2011 American Institute of Physics.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Sahlmann, Hanno Prof. Dr.
Professur für Theoretische Physik


Zitierweisen

APA:
Sahlmann, H. (2011). Some results concerning the representation theory of the algebra underlying loop quantum gravity. Journal of Mathematical Physics, 52(1). https://dx.doi.org/10.1063/1.3525705

MLA:
Sahlmann, Hanno. "Some results concerning the representation theory of the algebra underlying loop quantum gravity." Journal of Mathematical Physics 52.1 (2011).

BibTeX: 

Zuletzt aktualisiert 2018-22-10 um 21:50