Abstract
By appropriate scaling of coupling constants a one-parameter family of ensembles of two-dimensional geometries is obtained, which interpolates between the ensembles of (generalized) causal dynamical triangulations and ordinary dynamical triangulations. We study the fractal properties of the associated continuum geometries and identify both global and local Hausdorff dimensions.
Publication
Phys. Lett. B 736 (2014) 339-343
Citations
- Sato, Yuki, and Tomo Tanaka. “Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations.” Physical Review D 98.2 (2018): 026026.
- Jan Ambjørn, Yuki Sato, Tomo Tanaka, “Towards elucidation of zero-temperature criticality of Ising model on 2d DT”, arXiv preprint arXiv:2003.08524 (2020).