English

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

General Relativity and Quantum Cosmology 2014-10-07 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1410.1058,
  title  = {Loop quantization of a 3D Abelian BF model with sigma-model matter},
  author = {Diego C. M. Mendonça and Olivier Piguet},
  journal= {arXiv preprint arXiv:1410.1058},
  year   = {2014}
}

Comments

14 pages, Latex with three figs

R2 v1 2026-06-22T06:13:05.736Z