List of Publication » Closed formula for the matrix elements of the volume operator in canonical quantum gravity<br />Thiemann T (1998)<br />Journal of Mathematical Physics<br />Journal article

# Closed formula for the matrix elements of the volume operator in canonical quantum gravity

Journal article

## Publication Details

Author(s): Thiemann T

Publisher: AMER INST PHYSICS

Publication year: 1998

Volume: 39

Journal issue: 6

Pages range: 3347-3371

ISSN: 0022-2488

Abstract

We derive a closed formula for the matrix elements of the volume operator for canonical Lorentzian quantum gravity in four space-time dimensions in the continuum in a spin-network basis. We also display a new technique of regularization which is state dependent but we are forced to it in order to maintain diffeomorphism covariance and in that sense it is natural. We arrive naturally at the expression for the volume operator as defined by Ashtekar and Lewandowski up to a state-independent factor. (C) 1998 American Institute of Physics.

FAU Authors / FAU Editors

How to cite

APA: | Thiemann, T. (1998). Closed formula for the matrix elements of the volume operator in canonical quantum gravity. Journal of Mathematical Physics, 39(6), 3347-3371. |

MLA: | Thiemann, Thomas. "Closed formula for the matrix elements of the volume operator in canonical quantum gravity." Journal of Mathematical Physics 39.6 (1998): 3347-3371. |

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