Exploring the diffeomorphism invariant Hilbert space of a scalar field

Sahlmann H (2008)


Publication Status: Published

Publication Type: Conference contribution, Conference Contribution

Publication year: 2008

Pages Range: 2791-2793

Event location: Berlin

ISBN: 9789812834263

URI: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84893014075&origin=inward

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.

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How to cite

APA:

Sahlmann, H. (2008). Exploring the diffeomorphism invariant Hilbert space of a scalar field. In Proceedings of the 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006 (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.

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