Tensor models provide a way to access the path-integral for discretized quantum gravity in 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 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.
Publié le :
DOI : 10.4171/aihpd/52
Mots-clés : Quantum gravity, functional Renormalization Group, tensor model
@article{AIHPD_2018__5_2_173_0,
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://www.numdam.org/articles/10.4171/aihpd/52/}
}
TY - JOUR AU - Eichhorn, Astrid AU - Koslowski, Tim TI - Flowing to the continuum limit in tensor models for quantum gravity JO - Annales de l’Institut Henri Poincaré D PY - 2018 SP - 173 EP - 210 VL - 5 IS - 2 UR - http://www.numdam.org/articles/10.4171/aihpd/52/ DO - 10.4171/aihpd/52 LA - en ID - AIHPD_2018__5_2_173_0 ER -
%0 Journal Article %A Eichhorn, Astrid %A Koslowski, Tim %T Flowing to the continuum limit in tensor models for quantum gravity %J Annales de l’Institut Henri Poincaré D %D 2018 %P 173-210 %V 5 %N 2 %U http://www.numdam.org/articles/10.4171/aihpd/52/ %R 10.4171/aihpd/52 %G en %F AIHPD_2018__5_2_173_0
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. http://www.numdam.org/articles/10.4171/aihpd/52/
Cité par Sources :
