Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-11-09
Nucl.Phys. B460 (1996) 143-154
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, plain tex, 4 figures (postscript, compressed and uu-encoded)
Scientific paper
10.1016/0550-3213(95)00627-3
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.
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