On the reconstruction problem in quantum gravity
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322005330 |
| _version_ | 1811344191098191872 |
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| author | Mathijs Fraaije Alessia Platania Frank Saueressig |
| author_facet | Mathijs Fraaije Alessia Platania Frank Saueressig |
| author_sort | Mathijs Fraaije |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T19:43:23Z |
| format | Article |
| id | doaj.art-aac38fd1ea5b401f8f003a4a60b1ba02 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-13T19:43:23Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-aac38fd1ea5b401f8f003a4a60b1ba022022-12-22T02:32:47ZengElsevierPhysics Letters B0370-26932022-11-01834137399On the reconstruction problem in quantum gravityMathijs Fraaije0Alessia Platania1Frank Saueressig2Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, the NetherlandsPerimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON N2L 2Y5, Canada; Corresponding author.Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, the NetherlandsPath 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.http://www.sciencedirect.com/science/article/pii/S0370269322005330 |
| spellingShingle | Mathijs Fraaije Alessia Platania Frank Saueressig On the reconstruction problem in quantum gravity Physics Letters B |
| title | On the reconstruction problem in quantum gravity |
| title_full | On the reconstruction problem in quantum gravity |
| title_fullStr | On the reconstruction problem in quantum gravity |
| title_full_unstemmed | On the reconstruction problem in quantum gravity |
| title_short | On the reconstruction problem in quantum gravity |
| title_sort | on the reconstruction problem in quantum gravity |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322005330 |
| work_keys_str_mv | AT mathijsfraaije onthereconstructionprobleminquantumgravity AT alessiaplatania onthereconstructionprobleminquantumgravity AT franksaueressig onthereconstructionprobleminquantumgravity |