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arXiv · 1410.1058

Loop quantization of a 3D Abelian BF model with sigma-model matter

Diego C. M. Mendonça·Olivier Piguet
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Abstract

The main goal of this work is to explore the symmetries and develop the dynamics associated to a 3D Abelian BF model coupled to scalar fields submitted to a sigma model like constraint, at the classical and quantum levels. We apply to the present model the techniques of Loop Quantum Gravity, construct its physical Hilbert space and its observables.

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Diego C. M. Mendonça, Olivier Piguet. 2014-10-04. Loop quantization of a 3D Abelian BF model with sigma-model matter. https://arxiv.org/abs/1410.1058

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