On the reconstruction problem in quantum gravity
Jun 21, 2022
12 pages
Published in:
- Phys.Lett.B 834 (2022) 137399
- Published: Aug 25, 2022and
- Published: Nov 10, 2022
e-Print:
- 2206.10626 [hep-th]
DOI:
- 10.1016/j.physletb.2022.137399 (publication)
View in:
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Abstract: (Elsevier B.V.)
Path integrals and the Wilsonian renormalization group provide two complementary computational tools for investigating continuum approaches to quantum gravity. The starting points of these constructions utilize a bare action and a fixed point of the renormalization group flow, respectively. While it is clear that there should be a connection between these ingredients, their relation is far from trivial. This results in the so-called reconstruction problem. In this work, we demonstrate that the map between these two formulations does not generate non-localities at quadratic order in the background curvature. At this level, the bare action in the path integral and the fixed-point action obtained from the Wilsonian renormalization group differ by local terms only. This conclusion does not apply to theories coming with a physical ultraviolet cutoff or a fundamental non-locality scale.Note:
- 12 pages (5 + appendices and bibliography), no figures
- renormalization group: flow
- action: fixed point
- background: curvature
- renormalization group: fixed point
- quantum gravity
- path integral
- ultraviolet
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