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 to the noncommutative BRST and the noncommutative anti-BRST transformations. We analyze the gauge fixing term and the ghost term in both linear as well as nonlinear gauges. We also discuss the unitarity evolution of the theory and analyze the violation of unitarity by introduction of a bare mass term in the noncommutative BRST and the noncommutative anti-BRST transformations.

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