Hamiltonian constraint in Euclidean LQG revisited: First hints of off-shell Closure
General Relativity and Quantum Cosmology
2014-01-07 v1 High Energy Physics - Theory
Abstract
We initiate the hunt for a definition of Hamiltonian constraint in Euclidean Loop Quantum Gravity (LQG) which faithfully represents quantum Dirac algebra. Borrowing key ideas from previous works on Hamiltonian constraint in LQG and several toy models, we present some evidence that there exists such a continuum Hamiltonian constraint operator which is well defined on a suitable generalization of the Lewandowski-Marolf Habitat and is anomaly free off-shell.
Keywords
Cite
@article{arxiv.1401.0931,
title = {Hamiltonian constraint in Euclidean LQG revisited: First hints of off-shell Closure},
author = {Alok Laddha},
journal= {arXiv preprint arXiv:1401.0931},
year = {2014}
}
Comments
68 pages, 6 figures