- journal article metadata
European Mathematical Society Publishing House
2018-06-07 23:30:01
Annales de l’Institut Henri Poincaré D
Ann. Inst. Henri Poincaré Comb. Phys. Interact.
AIHPD
2308-5827
2308-5835
General
Combinatorics
Quantum theory
10.4171/AIHPD
http://www.ems-ph.org/doi/10.4171/AIHPD
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
5
2018
2
Flowing to the continuum limit in tensor models for quantum gravity
Astrid
Eichhorn
University of Heidelberg, Germany
Tim
Koslowski
Universidad Nacional Autónoma de México, Ciudad de México, Mexico
Quantum gravity, functional Renormalization Group, tensor model
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.
Quantum theory
Relativity and gravitational theory
173
210
10.4171/AIHPD/52
http://www.ems-ph.org/doi/10.4171/AIHPD/52
6
4
2018