Exploring the diffeomorphism invariant Hilbert space of a scalar field

Conference contribution
(Conference Contribution)


Publication Details

Author(s): Sahlmann H
Publication year: 2008
Pages range: 2791-2793
ISBN: 9789812834263


Abstract


As a toy model for the implementation of the diffeomorphism constraint, the interpretation of the resulting states, and the treatment of ordering ambiguities in loop quantum gravity, we consider the Hilbert space of spatially diffeomorphism invariant states for a scalar field. We give a very explicit formula for the scalar product on this space, and discuss its structure. Then we turn to the quantization of a certain class of diffeomorphism invariant quantities on that space, and discuss in detail the ordering issues involved. © 2008 World Scientific Publishing Co. Pte. Ltd.



FAU Authors / FAU Editors

Sahlmann, Hanno Prof. Dr.
Professur für Theoretische Physik


How to cite

APA:
Sahlmann, H. (2008). Exploring the diffeomorphism invariant Hilbert space of a scalar field. (pp. 2791-2793). Berlin.

MLA:
Sahlmann, Hanno. "Exploring the diffeomorphism invariant Hilbert space of a scalar field." Proceedings of the 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006, Berlin 2008. 2791-2793.

BibTeX: 

Last updated on 2018-07-08 at 14:54