Spectrum of the volume operator in quantum gravity
Nov, 199513 pages
Published in:
- Nucl.Phys.B 460 (1996) 143-154
e-Print:
- gr-qc/9511030 [gr-qc]
Report number:
- DFF-235-11-95
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Abstract: (arXiv)
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.Note:
- 14 pages, plain tex, 4 figures (postscript, compressed and uu-encoded)
- quantum gravity
- gauge field theory
- lattice field theory
- Hamiltonian formalism
- Wilson loop
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