The functional f(R) approximation
The functional f(R) approximation
This article is a review of functional $f(R)$ approximations in the asymptotic safety approach to quantum gravity. It mostly focusses on a formulation that uses a non-adaptive cutoff, resulting in a second order differential equation. This formulation is used as an example to give a detailed explanation for how asymptotic analysis and Sturm-Liouville analysis can be used to uncover some of its most important properties. In particular, if defined appropriately for all values $-\infty
hep-th
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Stulga, Dalius
3ea3b0d0-26a0-45aa-bd83-8437daecfa95
20 October 2022
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Stulga, Dalius
3ea3b0d0-26a0-45aa-bd83-8437daecfa95
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Monograph
(Working Paper)
Abstract
This article is a review of functional $f(R)$ approximations in the asymptotic safety approach to quantum gravity. It mostly focusses on a formulation that uses a non-adaptive cutoff, resulting in a second order differential equation. This formulation is used as an example to give a detailed explanation for how asymptotic analysis and Sturm-Liouville analysis can be used to uncover some of its most important properties. In particular, if defined appropriately for all values $-\infty
Text
2210.11356v1
- Author's Original
More information
Published date: 20 October 2022
Additional Information:
32 pages. Invited chapter for the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023)
Keywords:
hep-th
Identifiers
Local EPrints ID: 472287
URI: http://eprints.soton.ac.uk/id/eprint/472287
PURE UUID: 497cf853-df3c-4e64-a062-2a87e0b7049c
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Date deposited: 30 Nov 2022 17:46
Last modified: 17 Mar 2024 02:34
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