Universal critical behavior in tensor models for four-dimensional quantum gravity. (English) Zbl 1435.83050
Summary: 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.
MSC:
| 83C45 | Quantization of the gravitational field |
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 81T32 | Matrix models and tensor models for quantum field theory |
Keywords:
\(1/N\) expansion; lattice models of gravity; models of quantum gravity; renormalization groupReferences:
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