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

2014/10/04 by Diego Cezar Mendonça, Diego C. M. Mendonça, Olivier Piguet +2
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1410.1058

14 pages, Latex with three figs

arxiv created 2014/10/04 · openalex publication_date 2014/10/04 · arxiv updated 2014/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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