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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 515-537 |
| Number of pages | 23 |
| Journal | Brazilian Journal of Probability and Statistics |
| Volume | 28 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 2014 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability