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

被引：2

作者：

Mendonca, Diego C. M. ^{[1
]}

Piguet, Olivier ^{[2
]}

机构：

[1] Univ Fed Espirito Santo, Dept Fis, BR-29075910 Vitoria, ES, Brazil

[2] Univ Fed Vicosa, Dept Fis, BR-36570900 Vicosa, MG, Brazil

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2015年 / 2015卷

关键词：

QUANTUM-THEORY; GRAVITY;

D O I：

10.1155/2015/307132

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：8

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