A 2-Surface Quantization of the Lorentzian Gravity
General Relativity and Quantum Cosmology
2017-08-23 v1
Abstract
This is a contribution to the MG9 session QG1-a. A new quantum representation for the Lorentzian gravity is created from the Pullin vaccum by the operators assigned to 2-complexes. The representation uses the original, spinorial Ashtekar variables, the reality conditions are well posed and Thiemann's Hamiltonian is well defined. The results on the existence of a suitable Hilbert product are partial. They were derived in collaboration with Abhay Ashtekar.
Keywords
Cite
@article{arxiv.gr-qc/0101069,
title = {A 2-Surface Quantization of the Lorentzian Gravity},
author = {Marcin Bobieński and Jerzy Lewandowski and Mariusz Mroczek},
journal= {arXiv preprint arXiv:gr-qc/0101069},
year = {2017}
}
Comments
QG1-a session of MG9