Thiemann T (1998)
Publication Status: Published
Publication Type: Journal article
Publication year: 1998
Publisher: AMER INST PHYSICS
Book Volume: 39
Pages Range: 3347-3371
Journal Issue: 6
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.
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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