Noncommutative Quantum Gravity
General Relativity and Quantum Cosmology
2015-06-15 v2
Abstract
We discuss the BRST and anti-BRST symmetries for perturbative quantum gravity in noncommutative spacetime. In this noncommutative perturbative quantum gravity the sum of the classical Lagrangian density with a gauge fixing term and a ghost term is shown to be invariant the noncommutative BRST and the noncommutative anti-BRST transformations. We analyse the gauge fixing term and the ghost term in both linear as well as non-linear gauges. We also discuss the unitarity evolution of the theory and analyse the violation of unitarity of by introduction of a bare mass term in the noncommutative BRST and the noncommutative anti-BRST transformations.
Cite
@article{arxiv.1302.5156,
title = {Noncommutative Quantum Gravity},
author = {Mir Faizal},
journal= {arXiv preprint arXiv:1302.5156},
year = {2015}
}
Comments
11 pages, 0 figures, accepted for publication in Mod. Phys. Lett. A