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

Astrid Eichhorn, Johannes Lumma, Antonio D. Pereira*, Arslan Sikandar

*Corresponding author for this work

Research output: Contribution to journalJournal article

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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.

Original languageEnglish
Article number110
JournalJournal of High Energy Physics
Issue number2
Number of pages20
Publication statusPublished - 2020


  • 1/N Expansion
  • Lattice Models of Gravity
  • Models of Quantum Gravity
  • Renormalization Group

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