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arXiv · 1010.1143

BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity

Mir Faizal
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Abstract

In perturbative quantum gravity, the sum of the classical Lagrangian density, a gauge fixing term and a ghost term is invariant under two sets of supersymmetric transformations called the BRST and the anti-BRST transformations. In this paper we will analyse the BRST and the anti-BRST symmetries of perturbative quantum gravity in curved spacetime, in linear as well as non-linear gauges. We will show that even though the sum of ghost term and the gauge fixing term can always be expressed as a total BRST or a total anti-BRST variation, we can express it as a combination of both of them only in certain special gauges. We will also analyse the violation of nilpotency of the BRST and the anti-BRST transformations by introduction of a bare mass term, in the massive Curci-Ferrari gauge.

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Mir Faizal. 2010-10-06. BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity. https://doi.org/10.1007/s10701-010-9511-6

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