Quantum general invariance and loop gravity

Details Quantum general invariance and loop gravity Quantum general invariance and loop gravity

2001-05-27

arxiv.org/abs/gr-qc/0105097v1

Found.Phys. 31 (2001) 1105-1118

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Foundations of Physics

Scientific paper

A quantum physical projector is proposed for generally covariant theories which are derivable from a Lagrangian. The projector is the quantum analogue of the integral over the generators of finite one-parameter subgroups of the gauge symmetry transformations which are connected to the identity. Gauge variables are retained in this formalism, thus permitting the construction of spacetime area and volume operators in a tentative spacetime loop formulation of quantum general relativity.

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