On the reconstruction problem in quantum gravity
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Artikelnummer | 137399 |
Tidsskrift | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
Vol/bind | 834 |
ISSN | 0370-2693 |
DOI | |
Status | Udgivet - 10 nov. 2022 |
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