Journal article
Conformal dimensions on causal random geometry
- Abstract:
-
We investigate the interaction between matter and causal dynamical triangulations (CDT) in the context of two-dimensional quantum gravity. We focus on the Ising model coupled to CDT, contrasting this with Liouville gravity and the relation to the Knizhnik-Polyakov-Zamolodchikov (KPZ) formula. We demonstrate analytically for the quenched model that the conformal dimensions of fields on CDT align with those on a fixed lattice. We do this using a combination of lattice methods and adapting the Duplantier-Sheffield framework to CDT, emphasizing the one-dimensional nature of CDT and its description via a stochastic differential equation.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, pdf, 2.5MB, Terms of use)
-
- Publisher copy:
- 10.1007/jhep07(2025)173
Authors
- Publisher:
- Springer Nature
- Journal:
- Journal of High Energy Physics More from this journal
- Volume:
- 2025
- Issue:
- 7
- Article number:
- 173
- Publication date:
- 2025-07-16
- Acceptance date:
- 2025-06-13
- DOI:
- EISSN:
-
1029-8479
- ISSN:
-
1126-6708
- Language:
-
English
- Keywords:
- Pubs id:
-
2130333
- Local pid:
-
pubs:2130333
- Deposit date:
-
2025-06-16
- ARK identifier:
Terms of use
- Copyright holder:
- Barouki et al
- Copyright date:
- 2025
- Rights statement:
- © 2025, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- Licence:
- CC Attribution (CC BY)
If you are the owner of this record, you can report an update to it here: Report update to this record