Off-shell divergences in quantum gravity
| Title: | Off-shell divergences in quantum gravity |
|---|---|
| Authors: | Mandric, Vlad-Mihai, Morris, Tim R., Stulga, Dalius |
| Publication Year: | 2023 |
| Collection: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| Subject Terms: | High Energy Physics - Theory, General Relativity and Quantum Cosmology |
| More Details: | We investigate off-shell perturbative renormalisation of pure quantum gravity for both background metric and quantum fluctuations. We show that at each new loop order, the divergences that do not vanish on-shell are constructed from only the total metric, whilst those that vanish on-shell are renormalised by canonical transformations involving the quantum fields. Purely background metric divergences do not separately appear, and the background metric does not get renormalised. We highlight that renormalisation group identities play a crucial role ensuring consistency in the renormalisation of BRST transformations beyond one loop order. We verify these assertions by computing leading off-shell divergences to two loops, exploiting off-shell BRST invariance and the renormalisation group equations. Although some divergences can be absorbed by field redefinitions, we explain why this does not lead to finite beta-functions for the corresponding field. Comment: 45 pages |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2308.07382 |
| Accession Number: | edsarx.2308.07382 |
| Database: | arXiv |
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