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arXiv · 1510.02751

Barbero-Immirzi parameter as a solution of the simplicity constraints

Leonid Perlov·Michael Bukatin
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Abstract

In this paper we naturally obtain the values of the Barbero-Immirzi parameter as the solution of the simplicity constraints rather than setting it a priori. Particularly the Main theorem shows that if $γ= \pm i$ then the simplicity constraints require that the corresponding Lorentz group representations be necessary finite dimensional and therefore non-unitary.

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Leonid Perlov, Michael Bukatin. 2017-05-24. Barbero-Immirzi parameter as a solution of the simplicity constraints. https://arxiv.org/abs/1510.02751

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