Geodesic
Flowing to the continuum limit in tensor models for quantum gravity
Annales de l’Institut Henri Poincaré D, Tome 5 (2018) no. 2, pp. 173-210

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Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions. As in the case of matrix models for 2-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group fixed point in a setup where the tensor size N serves as the Renormalization Group scale. We develop functional Renormalization Group tools for tensor models with a main focus on a rank-3 model for 3-dimensional quantum gravity. We rediscover the double-scaling limit and provide an estimate for the scaling exponent. Moreover, we identify two additional fixed points with a second relevant direction in a truncation of the Renormalization Group flow. The new relevant direction might hint at the presence of additional degrees of freedom in the corresponding continuum limit.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/52
Classification : 81-XX, 83-XX
Keywords: Quantum gravity, functional Renormalization Group, tensor model 
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     author = {Eichhorn, Astrid and Koslowski, Tim},
     title = {Flowing to the continuum limit in tensor models for quantum gravity},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {173--210},
     volume = {5},
     number = {2},
     year = {2018},
     doi = {10.4171/aihpd/52},
     mrnumber = {3813214},
     zbl = {1392.81191},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpd/52/}
}
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Eichhorn, Astrid; Koslowski, Tim. Flowing to the continuum limit in tensor models for quantum gravity. Annales de l’Institut Henri Poincaré D, Tome 5 (2018) no. 2, pp. 173-210. doi: 10.4171/aihpd/52

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