Perturbative quantum gravity in Batalin-Vilkovisky formalism
arXiv:1305.4709 · doi:10.1016/j.physletb.2013.05.051
Abstract
In this Letter we consider the perturbative quantum gravity on the super-manifold which remains invariant under absolutely anticommuting BRST and anti-BRST transformations. In addition to that the theory posses one more symmetry known as shift symmetry. The BRST invariant Batalin-Vilkovisky (BV) action for perturbative quantum gravity is realized as a translation in Grassmann coordinate. Further we show that the quantum master equation of the BV quantization method at one-loop order can be translated to have a superfield structure for the action. However, the BRST as well as anti-BRST invariant BV action is constructed in superspace with the help of two Grassmann coordinates.
10 pages, Revtex, No figure, Journal version
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- A superspace description of Chern-Simons theory in Batalin-Vilkovisky formulation
- Finite BRST Mapping in Higher Derivative Models
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- Covariant quantization of the Einstein-Hilbert theory in first-order form