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arXiv · 1912.05314

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

Astrid Eichhorn·Johannes Lumma·Antonio D. Pereira·Arslan Sikandar
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Abstract

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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Astrid Eichhorn, Johannes Lumma, Antonio D. Pereira, Arslan Sikandar. 2019-12-11. Universal critical behavior in tensor models for four-dimensional quantum gravity. https://doi.org/10.1007/jhep02(2020)110

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