Loop Quantization of a 3D Abelian BF Model with σ-Model Matter

The main goal of this work is to explore the symmetries and develop the dynamics associated with a 3D Abelian BF model coupled to scalar fields submitted to a sigma model like constraint, at the classical and quantum levels. Background independence, on which the model is founded, strongly constrains...

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Main Authors: Diego C. M. Mendonça, Olivier Piguet
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/307132
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author Diego C. M. Mendonça
Olivier Piguet
author_facet Diego C. M. Mendonça
Olivier Piguet
author_sort Diego C. M. Mendonça
collection DOAJ
description The main goal of this work is to explore the symmetries and develop the dynamics associated with a 3D Abelian BF model coupled to scalar fields submitted to a sigma model like constraint, at the classical and quantum levels. Background independence, on which the model is founded, strongly constrains its nature. We adapt to the present model the techniques of Loop Quantum Gravity in order to construct its physical Hilbert space and its observables.
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institution Kabale University
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spelling doaj-art-972c93c3ce5649feaf8f93cab34d9ea62025-08-20T03:37:09ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/307132307132Loop Quantization of a 3D Abelian BF Model with σ-Model MatterDiego C. M. Mendonça0Olivier Piguet1Departamento de Física, Universidade Federal do Espírito Santo (UFES), 29075-910 Vitória, ES, BrazilDepartamento de Física, Universidade Federal de Viçosa (UFV), 36570-900 Viçosa, MG, BrazilThe main goal of this work is to explore the symmetries and develop the dynamics associated with a 3D Abelian BF model coupled to scalar fields submitted to a sigma model like constraint, at the classical and quantum levels. Background independence, on which the model is founded, strongly constrains its nature. We adapt to the present model the techniques of Loop Quantum Gravity in order to construct its physical Hilbert space and its observables.http://dx.doi.org/10.1155/2015/307132
spellingShingle Diego C. M. Mendonça
Olivier Piguet
Loop Quantization of a 3D Abelian BF Model with σ-Model Matter
Advances in Mathematical Physics
title Loop Quantization of a 3D Abelian BF Model with σ-Model Matter
title_full Loop Quantization of a 3D Abelian BF Model with σ-Model Matter
title_fullStr Loop Quantization of a 3D Abelian BF Model with σ-Model Matter
title_full_unstemmed Loop Quantization of a 3D Abelian BF Model with σ-Model Matter
title_short Loop Quantization of a 3D Abelian BF Model with σ-Model Matter
title_sort loop quantization of a 3d abelian bf model with σ model matter
url http://dx.doi.org/10.1155/2015/307132
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