Spectrum of the volume operator in quantum gravity
Abstract
The volume operator is an important kinematical quantity in the non-perturbative approach to four-dimensional quantum gravity in the connection formulation. We give a general algorithm for computing its spectrum when acting on four-valent spin network states, evaluate some of the eigenvalue formulae explicitly, and discuss the role played by the Mandelstam constraints.
- Publication:
-
Nuclear Physics B
- Pub Date:
- February 1996
- DOI:
- 10.1016/0550-3213(95)00627-3
- arXiv:
- arXiv:gr-qc/9511030
- Bibcode:
- 1996NuPhB.460..143L
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 14 pages, plain tex, 4 figures (postscript, compressed and uu-encoded)