Quantum reduced loop gravity: extension to gauge vector field
General Relativity and Quantum Cosmology
2017-06-07 v2
Abstract
Within the framework of Quantum Reduced Loop Gravity we quantize the Hamiltonian for a gauge vector field. The regularization can be performed using tools analogous to the ones adopted in full Loop Quantum Gravity, while the matrix elements of the resulting operator between basis states are analytic coefficients. This analysis is the first step towards deriving the full quantum gravity corrections to the vector field semiclassical dynamics.
Cite
@article{arxiv.1612.00324,
title = {Quantum reduced loop gravity: extension to gauge vector field},
author = {Jakub Bilski and Emanuele Alesci and Francesco Cianfrani and Pietro Donà and Antonino Marciano},
journal= {arXiv preprint arXiv:1612.00324},
year = {2017}
}
Comments
14 pages, typos corrected, improved notation to describe the kinematical states. arXiv admin note: text overlap with arXiv:1506.08579