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Abelian 2+1D loop quantum gravity coupled to a scalar field

  • Christoph CharlesEmail author
Research Article
  • 28 Downloads

Abstract

In order to study 3d loop quantum gravity coupled to matter, we consider a simplified model of abelian quantum gravity, the so-called \(\mathrm {U}(1)^3\) model. Abelian gravity coupled to a scalar field shares a lot of commonalities with parameterized field theories. We use this to develop an exact quantization of the model. This is used to discuss solutions to various problems that plague even the 4d theory, namely the definition of an inverse metric and the role of the choice of representation for the holonomy-flux algebra.

Keywords

Loop quantum gravity 2+1D gravity Abelian models Matter coupling 

Notes

Acknowledgements

I would like to thank Stefan Hohenegger for the numerous discussions that helped and guided this project, and without whom none of this would have been possible. I would also like to thank John Barrett for the various conversations that launched the initial idea for this paper.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Univ Lyon, Université Lyon 1, CNRS/IN2P3, IPN-LyonVilleurbanneFrance

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