BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity

作者：Faizal Mir^*

来源：Foundations of Physics, 2011, 41(2): 270-277.

DOI：10.1007/s10701-010-9511-6

• BRST
• Anti-BRST
• Perturbative quantum gravity

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.

• 出版日期2011-2