On the reconstruction problem in quantum gravity

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On the reconstruction problem in quantum gravity. / Fraaije, Mathijs; Platania, Alessia; Saueressig, Frank.

I: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Bind 834, 137399, 10.11.2022.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Fraaije, M, Platania, A & Saueressig, F 2022, 'On the reconstruction problem in quantum gravity', Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, bind 834, 137399. https://doi.org/10.1016/j.physletb.2022.137399

APA

Fraaije, M., Platania, A., & Saueressig, F. (2022). On the reconstruction problem in quantum gravity. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 834, [137399]. https://doi.org/10.1016/j.physletb.2022.137399

Vancouver

Fraaije M, Platania A, Saueressig F. On the reconstruction problem in quantum gravity. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2022 nov. 10;834. 137399. https://doi.org/10.1016/j.physletb.2022.137399

Author

Fraaije, Mathijs ; Platania, Alessia ; Saueressig, Frank. / On the reconstruction problem in quantum gravity. I: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2022 ; Bind 834.

Bibtex

@article{43055ce2af7349c0949fd37ef4e3004c,
title = "On the reconstruction problem in quantum gravity",
abstract = "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.",
author = "Mathijs Fraaije and Alessia Platania and Frank Saueressig",
note = "Funding Information: The authors would like to thank B. Knorr for interesting discussions. A.P. acknowledges support by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities. A.P. is also grateful to the Radboud University for hospitality during various stages of this project. Funding Information: The authors would like to thank B. Knorr for interesting discussions. A.P. acknowledges support by Perimeter Institute for Theoretical Physics . Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities. A.P. is also grateful to the Radboud University for hospitality during various stages of this project. Publisher Copyright: {\textcopyright} 2022 The Author(s)",
year = "2022",
month = nov,
day = "10",
doi = "10.1016/j.physletb.2022.137399",
language = "English",
volume = "834",
journal = "Physics Letters B: Particle Physics, Nuclear Physics and Cosmology",
issn = "0370-2693",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On the reconstruction problem in quantum gravity

AU - Fraaije, Mathijs

AU - Platania, Alessia

AU - Saueressig, Frank

N1 - Funding Information: The authors would like to thank B. Knorr for interesting discussions. A.P. acknowledges support by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities. A.P. is also grateful to the Radboud University for hospitality during various stages of this project. Funding Information: The authors would like to thank B. Knorr for interesting discussions. A.P. acknowledges support by Perimeter Institute for Theoretical Physics . Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities. A.P. is also grateful to the Radboud University for hospitality during various stages of this project. Publisher Copyright: © 2022 The Author(s)

PY - 2022/11/10

Y1 - 2022/11/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85137278625&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2022.137399

DO - 10.1016/j.physletb.2022.137399

M3 - Journal article

AN - SCOPUS:85137278625

VL - 834

JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

SN - 0370-2693

M1 - 137399

ER -

ID: 388512983