New representation and a vacuum state for canonical quantum gravity
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
A new representation for canonical gravity and supergravity is presented, which combines advantages of Ashtekar's and the Wheeler~DeWitt representation: it has a nice geometric structure and the singular metric problem is absent. A formal state functional can be given, which has some typical features of a vacuum state in quantum field theory. It can be canonically transformed into the metric representation. Transforming the constraints too, one recovers the Wheeler~DeWitt equation up to an anomalous term. A modified Dirac quantization is proposed to handle possible anomalies in the constraint algebra.
Keywords
Cite
@article{arxiv.gr-qc/9412020,
title = {New representation and a vacuum state for canonical quantum gravity},
author = {Hans-Juergen Matschull},
journal= {arXiv preprint arXiv:gr-qc/9412020},
year = {2010}
}
Comments
28 pages, LaTeX