Universal critical behavior in tensor models for four-dimensional quantum gravity

Astrid Eichhorn (CP3-Origins, University of Southern Denmark, Campusvej 55, Odense M, DK-5230, Denmark; Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 16, Heidelberg, 69120, Germany) ; Johannes Lumma (Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 16, Heidelberg, 69120, Germany) ; Antonio Pereira (Instituto de Física, Universidade Federal Fluminense, Campus da Praia Vermelha, Av. Litorânea s/n, Niterói, RJ, 24210-346, Brazil; Physics Department, Quaid-i-Azam University, Islamabad, 45320, Pakistan) ; Arslan Sikandar (Physics Department, Quaid-i-Azam University, Islamabad, 45320, Pakistan; Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 16, Heidelberg, 69120, Germany)

Four-dimensional random geometries can be generated by statistical models with rank-4 tensors as random variables. These are dual to discrete building blocks of random geometries. We discover a potential candidate for a continuum limit in such a model by employing background-independent coarse-graining techniques where the tensor size serves as a pre-geometric notion of scale. A fixed point candidate which features two relevant directions is found. The possible relevance of this result in view of universal results for quantum gravity and a potential connection to the asymptotic-safety program is discussed.

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Published on:
19 February 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 2
Pages 1-20
DOI:
https://doi.org/10.1007/JHEP02(2020)110
arXiv:
1912.05314
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: