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Spectrum of the Volume Operator in Quantum Gravity

R. Loll
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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.

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R. Loll. 1995-11-09. Spectrum of the Volume Operator in Quantum Gravity. https://doi.org/10.1016/0550-3213(95)00627-3

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