Is the Exponential of the Chern-Simons Action a Normalizable Physical State?

Details Is the Exponential of the Chern-Simons Action a Normalizable Physical State? Is the Exponential of the Chern-Simons Action a Normalizable Physical State?

1994-02-17

arxiv.org/abs/gr-qc/9402034v1

Class.Quant.Grav.12:435-442,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages (LATEX), Preprint CGPG-94/2-2

Scientific paper

10.1088/0264-9381/12/2/012

We determine the wavefunction that corresponds to the exponential of the Chern-Simons action in a family of gravitational models provided with cosmological constant whose non-perturbative canonical quantization is completely known. We show that this wavefunction does not represent a proper quantum state, because it is not normalizable with respect to the unique inner product of Lorentzian gravity.

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