Noncommutative Quantum Gravity

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.

11 pages, 0 figures, accepted for publication in Mod. Phys. Lett. A

References in corpus (6)

• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Charged rotating noncommutative black holes
• A Superspace Formulation of The BV Action for Higher Derivative Theories
• BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity
• On the FP-ghost propagators for Yang-Mills theories and perturbative quantum gravity in the covariant gauge in de Sitter spacetime
• What kind of noncommutative geometry for quantum gravity ?

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• Novel Symmetries in Christ-Lee Model
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