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

Guillermo A. Mena Marugan
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Abstract

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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Guillermo A. Mena Marugan. 1994-02-17. Is the Exponential of the Chern-Simons Action a Normalizable Physical State?. https://doi.org/10.1088/0264-9381%2F12%2F2%2F012

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