| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo - Brazil
[2] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam - Wales
[3] Univ Cambridge, DPMMS CMS, Stat Lab, Cambridge CB3 0WE - England
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 28, n. 4, p. 515-537, NOV 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider infinite random causal Lorentzian triangulations emerging in quantum gravity for critical values of parameters. With each vertex of the triangulation we associate a Hilbert space representing a bosonic particle moving in accordance with the standard laws of Quantum Mechanics: The particles interact via two-body potentials decaying with the graph distance. A Mermin-Wagner type theorem is proven for infinite-volume reduced density matrices related to solutions to DLR equations in the Feynman-Kac (FK) representation. (AU) | |
| FAPESP's process: | 12/04372-7 - Probabilistic aspects of causal dynamical triangulations |
| Grantee: | Anatoli Iambartsev |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 11/20133-0 - Absence of continuous symmetry-breaking in 2-dimensional quantum systems |
| Grantee: | Anatoli Iambartsev |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |