A real alternative to quantum gravity in loop space
General Relativity and Quantum Cosmology
2011-09-09 v1 High Energy Physics - Theory
Abstract
We show that the Hamiltonian of four-dimensional Lorentzian gravity, defined on a space of real, SU(2)-valued connections, in spite of its non-polynomiality possesses a natural quantum analogue in a lattice-discretized formulation of the theory. This opens the way for a systematic investigation of its spectrum. The unambiguous and well-defined scalar product is that of the SU(2)-gauge theory. We also comment on various aspects of the continuum theory.
Cite
@article{arxiv.gr-qc/9602041,
title = {A real alternative to quantum gravity in loop space},
author = {R. Loll},
journal= {arXiv preprint arXiv:gr-qc/9602041},
year = {2011}
}
Comments
11 pages, plain TeX, Feb 96