Gauge invariant renormalizability of quantum gravity
arXiv:2210.09271 · doi:10.1007/978-981-19-3079-9_9-1
Abstract
The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role in QG and, therefore, it is important to prove it for the widest possible range of the QG theories. Using the Batalin-Vilkovisky technique and the background field method, we elaborate the proof of gauge invariant renormalizability for a generic model of quantum gravity that is diffeomorphism invariant and does not have additional, potentially anomalous, symmetries.
References added. 39 pages, no figures. Invited chapter for the Section "Effective Quantum Gravity" of the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023). Review paper is mainly based on arXiv:1902.04687, with permission from Physical Review D
References in corpus (5)
- Counting ghosts in the "ghost-free" non-local gravity
- A systematic study of finite BRST-BV transformations in field-antifield formalism
- Covariant BRST Quantization of Unimodular Gravity I -- Formulation with antisymmetric tensor ghosts --
- General Procedure of Gauge Fixings and Ghosts
- On a gauge-invariant deformation of a classical gauge-invariant theory