English

Solvable model for quantum gravity

General Relativity and Quantum Cosmology 2015-06-11 v2 High Energy Physics - Theory

Abstract

We study a type of geometric theory with a non-dynamical one-form field. Its dynamical variables are an su(2)su(2) gauge field and a triad of su(2)su(2) valued one-forms. Hamiltonian decomposition reveals that the theory has a true Hamiltonian, together with spatial diffeomorphism and Gauss law constraints, which generate the only local symmetries. Although perturbatively non-renormalizable, the model provides a test bed for the non-perturbative quantization techniques of loop quantum gravity.

Keywords

Cite

@article{arxiv.1210.7222,
  title  = {Solvable model for quantum gravity},
  author = {Jack Gegenberg and Viqar Husain},
  journal= {arXiv preprint arXiv:1210.7222},
  year   = {2015}
}
R2 v1 2026-06-21T22:28:26.310Z